38853734400 has 1248 divisors, whose sum is σ = 163809515520. Its totient is φ = 8953528320.

The previous prime is 38853734369. The next prime is 38853734443. The reversal of 38853734400 is 443735883.

38853734400 is a `hidden beast` number, since 3 + 88 + 537 + 34 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×38853734400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 826675177 + ... + 826675223.

Almost surely, 2^38853734400 is an apocalyptic number.

38853734400 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 38853734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81904757760).

38853734400 is an abundant number, since it is smaller than the sum of its proper divisors (124955781120).

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

38853734400 is a wasteful number, since it uses less digits than its factorization.

38853734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 38853734400 in words is "thirty-eight billion, eight hundred fifty-three million, seven hundred thirty-four thousand, four hundred".