3901951872 has 512 divisors, whose sum is σ = 14942592000. Its totient is φ = 973430784.

The previous prime is 3901951861. The next prime is 3901951873. The reversal of 3901951872 is 2781591093.

3901951872 is a `hidden beast` number, since 390 + 195 + 1 + 8 + 72 = 666.

It is a super-2 number, since 2×3901951872² = 30450456822808608768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3901951873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5975098 + ... + 5975750.

It is an arithmetic number, because the mean of its divisors is an integer number (29184750).

Almost surely, 2^3901951872 is an apocalyptic number.

3901951872 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 3901951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7471296000).

3901951872 is an abundant number, since it is smaller than the sum of its proper divisors (11040640128).

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

3901951872 is a wasteful number, since it uses less digits than its factorization.

3901951872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 3901951872 is about 62465.6055121536. The cubic root of 3901951872 is about 1574.3234681716.

The spelling of 3901951872 in words is "three billion, nine hundred one million, nine hundred fifty-one thousand, eight hundred seventy-two".