38967640452 has 144 divisors (see below), whose sum is σ = 107602447680. Its totient is φ = 11818485504.

The previous prime is 38967640403. The next prime is 38967640463. The reversal of 38967640452 is 25404676983.

38967640452 is a `hidden beast` number, since 3 + 89 + 6 + 76 + 40 + 452 = 666.

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, 22800574 + ... + 22802282.

It is an arithmetic number, because the mean of its divisors is an integer number (747239220).

Almost surely, 2^38967640452 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 38967640452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53801223840).

38967640452 is an abundant number, since it is smaller than the sum of its proper divisors (68634807228).

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

38967640452 is a wasteful number, since it uses less digits than its factorization.

38967640452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

It can be divided in two parts, 389676 and 40452, that added together give a triangular number (430128 = T₉₂₇).

The spelling of 38967640452 in words is "thirty-eight billion, nine hundred sixty-seven million, six hundred forty thousand, four hundred fifty-two".