38232667152 has 120 divisors (see below), whose sum is σ = 108500805504. Its totient is φ = 12565884672.

The previous prime is 38232667139. The next prime is 38232667183. The reversal of 38232667152 is 25176623283.

38232667152 is a `hidden beast` number, since 382 + 3 + 266 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×38232667152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38232667098 and 38232667107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6654393 + ... + 6660135.

Almost surely, 2^38232667152 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 38232667152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54250402752).

38232667152 is an abundant number, since it is smaller than the sum of its proper divisors (70268138352).

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

38232667152 is a wasteful number, since it uses less digits than its factorization.

38232667152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397 (or 6388 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 38232667152 in words is "thirty-eight billion, two hundred thirty-two million, six hundred sixty-seven thousand, one hundred fifty-two".