38525868900 has 216 divisors, whose sum is σ = 124827783080. Its totient is φ = 9930885120.

The previous prime is 38525868889. The next prime is 38525868919. The reversal of 38525868900 is 986852583.

38525868900 is a `hidden beast` number, since 3 + 8 + 52 + 586 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 993006144 + 37532862756 = 31512^2 + 193734^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5224416 + ... + 5231784.

Almost surely, 2^38525868900 is an apocalyptic number.

38525868900 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 38525868900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62413891540).

38525868900 is an abundant number, since it is smaller than the sum of its proper divisors (86301914180).

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

38525868900 is a wasteful number, since it uses less digits than its factorization.

38525868900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 38525868900 in words is "thirty-eight billion, five hundred twenty-five million, eight hundred sixty-eight thousand, nine hundred".