38757889800 has 384 divisors, whose sum is σ = 154513920000. Its totient is φ = 8746133760.

The previous prime is 38757889777. The next prime is 38757889801. The reversal of 38757889800 is 898875783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (38757889801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2979711 + ... + 2992689.

It is an arithmetic number, because the mean of its divisors is an integer number (402380000).

Almost surely, 2^38757889800 is an apocalyptic number.

38757889800 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 38757889800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77256960000).

38757889800 is an abundant number, since it is smaller than the sum of its proper divisors (115756030200).

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

38757889800 is a wasteful number, since it uses less digits than its factorization.

38757889800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13090 (or 13075 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 38757889800 in words is "thirty-eight billion, seven hundred fifty-seven million, eight hundred eighty-nine thousand, eight hundred".