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3379887840 = 253573137877
BaseRepresentation
bin1100100101110100…
…1111111011100000
322201112212002111010
43021131033323200
523410222402330
61315214420520
7146520400260
oct31135177340
98645762433
103379887840
11148494983a
127a3b01740
1341b303644
14240c537a0
1514bad33b0
hexc974fee0

3379887840 has 384 divisors, whose sum is σ = 12914270208. Its totient is φ = 726589440.

The previous prime is 3379887811. The next prime is 3379887851. The reversal of 3379887840 is 487889733.

It is a super-2 number, since 2×33798878402 = 22847283621959731200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3853482 + ... + 3854358.

It is an arithmetic number, because the mean of its divisors is an integer number (33630912).

Almost surely, 23379887840 is an apocalyptic number.

3379887840 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 3379887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457135104).

3379887840 is an abundant number, since it is smaller than the sum of its proper divisors (9534382368).

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

3379887840 is a wasteful number, since it uses less digits than its factorization.

3379887840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The square root of 3379887840 is about 58136.8028016677. The cubic root of 3379887840 is about 1500.7237751546.

The spelling of 3379887840 in words is "three billion, three hundred seventy-nine million, eight hundred eighty-seven thousand, eight hundred forty".