38756300352 has 224 divisors, whose sum is σ = 129600374784. Its totient is φ = 9928396800.

The previous prime is 38756300329. The next prime is 38756300357. The reversal of 38756300352 is 25300365783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (38756300357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061277 + ... + 1097187.

Almost surely, 2^38756300352 is an apocalyptic number.

38756300352 is a gapful number since it is divisible by the number (32) 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 38756300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800187392).

38756300352 is an abundant number, since it is smaller than the sum of its proper divisors (90844074432).

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

38756300352 is a wasteful number, since it uses less digits than its factorization.

38756300352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36017 (or 36007 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 38756300352 in words is "thirty-eight billion, seven hundred fifty-six million, three hundred thousand, three hundred fifty-two".