3801735756 has 288 divisors, whose sum is σ = 12533196480. Its totient is φ = 987614208.

The previous prime is 3801735719. The next prime is 3801735767. The reversal of 3801735756 is 6575371083.

3801735756 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 73 + 575 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5021730 + ... + 5022486.

Almost surely, 2^3801735756 is an apocalyptic number.

3801735756 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 3801735756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266598240).

3801735756 is an abundant number, since it is smaller than the sum of its proper divisors (8731460724).

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

3801735756 is a wasteful number, since it uses less digits than its factorization.

3801735756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 3801735756 is about 61658.2172625839. The cubic root of 3801735756 is about 1560.7283137670.

The spelling of 3801735756 in words is "three billion, eight hundred one million, seven hundred thirty-five thousand, seven hundred fifty-six".