38846745600 has 792 divisors, whose sum is σ = 144368228592. Its totient is φ = 9201254400.

The previous prime is 38846745593. The next prime is 38846745601. The reversal of 38846745600 is 654764883.

It is a super-3 number, since 3×38846745600³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38846745601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 532147164 + ... + 532147236.

Almost surely, 2^38846745600 is an apocalyptic number.

38846745600 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 38846745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72184114296).

38846745600 is an abundant number, since it is smaller than the sum of its proper divisors (105521482992).

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

38846745600 is a wasteful number, since it uses less digits than its factorization.

38846745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 38846745600 in words is "thirty-eight billion, eight hundred forty-six million, seven hundred forty-five thousand, six hundred".