38253562200 has 480 divisors, whose sum is σ = 153953643360. Its totient is φ = 8622028800.

The previous prime is 38253562157. The next prime is 38253562223. The reversal of 38253562200 is 226535283.

38253562200 is a `hidden beast` number, since 3 + 8 + 25 + 3 + 5 + 622 + 0 + 0 = 666.

It is a super-3 number, since 3×38253562200³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8275890 + ... + 8280510.

It is an arithmetic number, because the mean of its divisors is an integer number (320736757).

Almost surely, 2^38253562200 is an apocalyptic number.

38253562200 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 38253562200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76976821680).

38253562200 is an abundant number, since it is smaller than the sum of its proper divisors (115700081160).

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

38253562200 is a wasteful number, since it uses less digits than its factorization.

38253562200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 38253562200 in words is "thirty-eight billion, two hundred fifty-three million, five hundred sixty-two thousand, two hundred".