38738502720 has 560 divisors, whose sum is σ = 146201392128. Its totient is φ = 9719377920.

The previous prime is 38738502707. The next prime is 38738502727. The reversal of 38738502720 is 2720583783.

38738502720 is a `hidden beast` number, since 3 + 8 + 73 + 8 + 502 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38738502727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29729589 + ... + 29730891.

Almost surely, 2^38738502720 is an apocalyptic number.

38738502720 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 38738502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73100696064).

38738502720 is an abundant number, since it is smaller than the sum of its proper divisors (107462889408).

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

38738502720 is a wasteful number, since it uses less digits than its factorization.

38738502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 38738502720 in words is "thirty-eight billion, seven hundred thirty-eight million, five hundred two thousand, seven hundred twenty".