38325652560 has 480 divisors, whose sum is σ = 147410565120. Its totient is φ = 8850935808.

The previous prime is 38325652559. The next prime is 38325652643. The reversal of 38325652560 is 6525652383.

38325652560 is a `hidden beast` number, since 3 + 8 + 3 + 2 + 565 + 25 + 60 = 666.

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, 11408161 + ... + 11411519.

It is an arithmetic number, because the mean of its divisors is an integer number (307105344).

Almost surely, 2^38325652560 is an apocalyptic number.

38325652560 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 38325652560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73705282560).

38325652560 is an abundant number, since it is smaller than the sum of its proper divisors (109084912560).

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

38325652560 is a wasteful number, since it uses less digits than its factorization.

38325652560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 38325652560 in words is "thirty-eight billion, three hundred twenty-five million, six hundred fifty-two thousand, five hundred sixty".