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3985845840 = 24 ⋅ 33 ⋅ 5 ⋅ 17 ⋅ 19 ⋅ 29 ⋅ 197
BaseRepresentation
bin1110110110010011…
……0010111001010000
3101021210001221121000
43231210302321100
531130334031330
61455302302000
7200526062544
oct35544627120
911253057530
103985845840
1117659a6a79
12932a27900
134b6a07082
1429b50ba24
15184dcb560
hexed932e50

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(max 15 digits)

3985845840 has 640 divisors, whose sum is σ = 15909696000. Its totient is φ = 910393344.

The previous prime is 3985845817. The next prime is 3985845847. The reversal of 3985845840 is 485485893.

3985845840 is a `hidden beast` number, since 3 + 9 + 8 + 58 + 4 + 584 + 0 = 666.

3985845840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985845847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20232622 + ... + 20232818.

It is an arithmetic number, because the mean of its divisors is an integer number (24858900).

Almost surely, 23985845840 is an apocalyptic number.

3985845840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3985845840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7954848000).

3985845840 is an abundant number, since it is smaller than the sum of its proper divisors (11923850160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3985845840 is a wasteful number, since it uses less digits than its factorization.

3985845840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The square root of 3985845840 is about 63133.5555786303. Note that the first 4 decimals coincide. The cubic root of 3985845840 is about 1585.5264784358.

The spelling of 3985845840 in words is "three billion, nine hundred eighty-five million, eight hundred forty-five thousand, eight hundred forty".