3801517056 has 176 divisors, whose sum is σ = 11319091200. Its totient is φ = 1260343296.

The previous prime is 3801516923. The next prime is 3801517081. The reversal of 3801517056 is 6507151083.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3801517056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9925441 + ... + 9925823.

Almost surely, 2^3801517056 is an apocalyptic number.

3801517056 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 3801517056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659545600).

3801517056 is an abundant number, since it is smaller than the sum of its proper divisors (7517574144).

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

3801517056 is a wasteful number, since it uses less digits than its factorization.

3801517056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 3801517056 is about 61656.4437508360. The cubic root of 3801517056 is about 1560.6983855229.

The spelling of 3801517056 in words is "three billion, eight hundred one million, five hundred seventeen thousand, fifty-six".