3951172692432 has 240 divisors, whose sum is σ = 12816362557440. Its totient is φ = 1112969265408.

The previous prime is 3951172692413. The next prime is 3951172692457. The reversal of 3951172692432 is 2342962711593.

It is a happy number.

3951172692432 is a `hidden beast` number, since 3 + 9 + 5 + 117 + 2 + 6 + 92 + 432 = 666.

It is a super-2 number, since 2×3951172692432² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54352333 + ... + 54424979.

It is an arithmetic number, because the mean of its divisors is an integer number (53401510656).

Almost surely, 2^{3951172692432} 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 3951172692432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408181278720).

3951172692432 is an abundant number, since it is smaller than the sum of its proper divisors (8865189865008).

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

3951172692432 is a wasteful number, since it uses less digits than its factorization.

3951172692432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73430 (or 73421 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 3951172692432 in words is "three trillion, nine hundred fifty-one billion, one hundred seventy-two million, six hundred ninety-two thousand, four hundred thirty-two".