38755820390400 has 1728 divisors, whose sum is σ = 148196754800640. Its totient is φ = 10033038950400.

The previous prime is 38755820390369. The next prime is 38755820390471. The reversal of 38755820390400 is 409302855783.

38755820390400 is a `hidden beast` number, since 3 + 8 + 75 + 5 + 82 + 0 + 3 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×38755820390400² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111688243027 + ... + 111688243373.

It is an arithmetic number, because the mean of its divisors is an integer number (85762010880).

Almost surely, 2^{38755820390400} is an apocalyptic number.

38755820390400 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 38755820390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74098377400320).

38755820390400 is an abundant number, since it is smaller than the sum of its proper divisors (109440934410240).

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

38755820390400 is a wasteful number, since it uses less digits than its factorization.

38755820390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 38755820390400 in words is "thirty-eight trillion, seven hundred fifty-five billion, eight hundred twenty million, three hundred ninety thousand, four hundred".