3900802752 has 448 divisors, whose sum is σ = 15059558400. Its totient is φ = 959247360.

The previous prime is 3900802727. The next prime is 3900802769. The reversal of 3900802752 is 2572080093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3900802752² = 30432524220021547008, which contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 2527293 + ... + 2528835.

Almost surely, 2^3900802752 is an apocalyptic number.

3900802752 is a gapful number since it is divisible by the number (32) 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 3900802752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529779200).

3900802752 is an abundant number, since it is smaller than the sum of its proper divisors (11158755648).

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

3900802752 is a wasteful number, since it uses less digits than its factorization.

3900802752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3900802752 is about 62456.4068130724. The cubic root of 3900802752 is about 1574.1689075599.

The spelling of 3900802752 in words is "three billion, nine hundred million, eight hundred two thousand, seven hundred fifty-two".