38882937600 has 864 divisors, whose sum is σ = 161806310400. Its totient is φ = 9057484800.

The previous prime is 38882937593. The next prime is 38882937617. The reversal of 38882937600 is 673928883.

38882937600 is a `hidden beast` number, since 3 + 8 + 8 + 8 + 29 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42681145 + ... + 42682055.

Almost surely, 2^38882937600 is an apocalyptic number.

38882937600 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 38882937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80903155200).

38882937600 is an abundant number, since it is smaller than the sum of its proper divisors (122923372800).

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

38882937600 is a wasteful number, since it uses less digits than its factorization.

38882937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 38882937600 in words is "thirty-eight billion, eight hundred eighty-two million, nine hundred thirty-seven thousand, six hundred".