38533756800 has 864 divisors, whose sum is σ = 162524207160. Its totient is φ = 7995187200.

The previous prime is 38533756753. The next prime is 38533756837. The reversal of 38533756800 is 865733583.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38533756800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 56918062 + ... + 56918738.

Almost surely, 2^38533756800 is an apocalyptic number.

38533756800 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 38533756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81262103580).

38533756800 is an abundant number, since it is smaller than the sum of its proper divisors (123990450360).

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

38533756800 is a wasteful number, since it uses less digits than its factorization.

38533756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

It can be divided in two parts, 3853 and 3756800, that added together give a triangular number (3760653 = T₂₇₄₂).

The spelling of 38533756800 in words is "thirty-eight billion, five hundred thirty-three million, seven hundred fifty-six thousand, eight hundred".