3901421952 has 192 divisors, whose sum is σ = 11482099200. Its totient is φ = 1271282688.

The previous prime is 3901421947. The next prime is 3901421959. The reversal of 3901421952 is 2591241093.

3901421952 is a `hidden beast` number, since 390 + 1 + 4 + 219 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3901421959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14834173 + ... + 14834435.

It is an arithmetic number, because the mean of its divisors is an integer number (59802600).

Almost surely, 2^3901421952 is an apocalyptic number.

3901421952 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 3901421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741049600).

3901421952 is an abundant number, since it is smaller than the sum of its proper divisors (7580677248).

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

3901421952 is a wasteful number, since it uses less digits than its factorization.

3901421952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3901421952 is about 62461.3636738744. The cubic root of 3901421952 is about 1574.2521958708.

The spelling of 3901421952 in words is "three billion, nine hundred one million, four hundred twenty-one thousand, nine hundred fifty-two".