38709576000 has 1120 divisors, whose sum is σ = 154651521024. Its totient is φ = 9538560000.

The previous prime is 38709575999. The next prime is 38709576019. The reversal of 38709576000 is 67590783.

It is a happy number.

38709576000 is a `hidden beast` number, since 3 + 8 + 70 + 9 + 576 + 0 + 0 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 823607977 + ... + 823608023.

Almost surely, 2^38709576000 is an apocalyptic number.

38709576000 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 38709576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77325760512).

38709576000 is an abundant number, since it is smaller than the sum of its proper divisors (115941945024).

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

38709576000 is a wasteful number, since it uses less digits than its factorization.

38709576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 38709576000 in words is "thirty-eight billion, seven hundred nine million, five hundred seventy-six thousand".