38685024000 has 864 divisors, whose sum is σ = 164482805760. Its totient is φ = 8543232000.

The previous prime is 38685023987. The next prime is 38685024013. The reversal of 38685024000 is 42058683.

It is an interprime number because it is at equal distance from previous prime (38685023987) and next prime (38685024013).

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, 62495691 + ... + 62496309.

Almost surely, 2^38685024000 is an apocalyptic number.

38685024000 is a gapful number since it is divisible by the number (30) 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 38685024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82241402880).

38685024000 is an abundant number, since it is smaller than the sum of its proper divisors (125797781760).

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

38685024000 is a wasteful number, since it uses less digits than its factorization.

38685024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 38685024000 in words is "thirty-eight billion, six hundred eighty-five million, twenty-four thousand".