38452008960 has 768 divisors, whose sum is σ = 147962505600. Its totient is φ = 9555148800.

The previous prime is 38452008953. The next prime is 38452008979. The reversal of 38452008960 is 6980025483.

38452008960 is a `hidden beast` number, since 38 + 4 + 520 + 0 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 380712910 + ... + 380713010.

Almost surely, 2^38452008960 is an apocalyptic number.

38452008960 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 38452008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73981252800).

38452008960 is an abundant number, since it is smaller than the sum of its proper divisors (109510496640).

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

38452008960 is an equidigital number, since it uses as much as digits as its factorization.

38452008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38452008960 in words is "thirty-eight billion, four hundred fifty-two million, eight thousand, nine hundred sixty".