38800004555952 has 320 divisors, whose sum is σ = 120007210475520. Its totient is φ = 11967375974400.

The previous prime is 38800004555933. The next prime is 38800004555957. The reversal of 38800004555952 is 25955540000883.

It is a happy number.

38800004555952 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 0 + 0 + 0 + 45 + 5 + 595 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38800004555957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 855337752 + ... + 855383112.

It is an arithmetic number, because the mean of its divisors is an integer number (375022532736).

Almost surely, 2^{38800004555952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38800004555952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60003605237760).

38800004555952 is an abundant number, since it is smaller than the sum of its proper divisors (81207205919568).

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

38800004555952 is a wasteful number, since it uses less digits than its factorization.

38800004555952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48209 (or 48197 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 38800004555952 in words is "thirty-eight trillion, eight hundred billion, four million, five hundred fifty-five thousand, nine hundred fifty-two".