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3740921856 = 212327219109
BaseRepresentation
bin1101111011111001…
…1111000000000000
3100122201012112001100
43132332133000000
530130133444411
61415112534400
7161463211500
oct33676370000
910581175040
103740921856
11164a71aa61
128849b1400
13478050c39
14276b93a00
1516d64b456
hexdef9f000

3740921856 has 468 divisors, whose sum is σ = 13352968200. Its totient is φ = 1003290624.

The previous prime is 3740921819. The next prime is 3740921879. The reversal of 3740921856 is 6581290473.

3740921856 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

3740921856 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34320330 + ... + 34320438.

It is a 1-persistent number, because it is pandigital, but 2⋅3740921856 = 7481843712 is not.

Almost surely, 23740921856 is an apocalyptic number.

3740921856 is a gapful number since it is divisible by the number (36) 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 3740921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676484100).

3740921856 is an abundant number, since it is smaller than the sum of its proper divisors (9612046344).

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

3740921856 is a wasteful number, since it uses less digits than its factorization.

3740921856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3740921856 is about 61163.0759200353. The cubic root of 3740921856 is about 1552.3615553302.

The spelling of 3740921856 in words is "three billion, seven hundred forty million, nine hundred twenty-one thousand, eight hundred fifty-six".