3902148432 has 480 divisors, whose sum is σ = 14331582720. Its totient is φ = 1000304640.

The previous prime is 3902148413. The next prime is 3902148451. The reversal of 3902148432 is 2348412093.

3902148432 is a `hidden beast` number, since 3 + 9 + 0 + 214 + 8 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (3902148413) and next prime (3902148451).

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

It is a congruent number.

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, 14505994 + ... + 14506262.

It is an arithmetic number, because the mean of its divisors is an integer number (29857464).

Almost surely, 2^3902148432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3902148432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165791360).

3902148432 is an abundant number, since it is smaller than the sum of its proper divisors (10429434288).

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

3902148432 is a wasteful number, since it uses less digits than its factorization.

3902148432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3902148432 is about 62467.1788381707. The cubic root of 3902148432 is about 1574.3499031316.

The spelling of 3902148432 in words is "three billion, nine hundred two million, one hundred forty-eight thousand, four hundred thirty-two".