38676528000 has 640 divisors, whose sum is σ = 156762159840. Its totient is φ = 9372672000.

The previous prime is 38676527987. The next prime is 38676528013. The reversal of 38676528000 is 82567683.

It is an interprime number because it is at equal distance from previous prime (38676527987) and next prime (38676528013).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14254644 + ... + 14257356.

Almost surely, 2^38676528000 is an apocalyptic number.

38676528000 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 38676528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78381079920).

38676528000 is an abundant number, since it is smaller than the sum of its proper divisors (118085631840).

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

38676528000 is a wasteful number, since it uses less digits than its factorization.

38676528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 38676528000 in words is "thirty-eight billion, six hundred seventy-six million, five hundred twenty-eight thousand".