38501913600 has 528 divisors, whose sum is σ = 144194610240. Its totient is φ = 10063872000.

The previous prime is 38501913563. The next prime is 38501913607. The reversal of 38501913600 is 631910583.

It is a happy number.

38501913600 is a `hidden beast` number, since 3 + 8 + 501 + 91 + 3 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38501913607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36633075 + ... + 36634125.

Almost surely, 2^38501913600 is an apocalyptic number.

38501913600 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 38501913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72097305120).

38501913600 is an abundant number, since it is smaller than the sum of its proper divisors (105692696640).

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

38501913600 is a wasteful number, since it uses less digits than its factorization.

38501913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 38501913600 in words is "thirty-eight billion, five hundred one million, nine hundred thirteen thousand, six hundred".