38884801113600 has 240 divisors, whose sum is σ = 138334551199152. Its totient is φ = 9571643228160.

The previous prime is 38884801113553. The next prime is 38884801113611. The reversal of 38884801113600 is 631110848883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38447917 + ... + 39446316.

Almost surely, 2^{38884801113600} is an apocalyptic number.

38884801113600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38884801113600 is an abundant number, since it is smaller than the sum of its proper divisors (99449750085552).

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

38884801113600 is a wasteful number, since it uses less digits than its factorization.

38884801113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77894277 (or 77894256 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 38884801113600 in words is "thirty-eight trillion, eight hundred eighty-four billion, eight hundred one million, one hundred thirteen thousand, six hundred".