38525472720 has 480 divisors, whose sum is σ = 155112572160. Its totient is φ = 8704143360.

The previous prime is 38525472707. The next prime is 38525472763. The reversal of 38525472720 is 2727452583.

38525472720 is a `hidden beast` number, since 3 + 85 + 2 + 547 + 2 + 7 + 20 = 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, 12109530 + ... + 12112710.

It is an arithmetic number, because the mean of its divisors is an integer number (323151192).

Almost surely, 2^38525472720 is an apocalyptic number.

38525472720 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 38525472720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77556286080).

38525472720 is an abundant number, since it is smaller than the sum of its proper divisors (116587099440).

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

38525472720 is a wasteful number, since it uses less digits than its factorization.

38525472720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 38525472720 in words is "thirty-eight billion, five hundred twenty-five million, four hundred seventy-two thousand, seven hundred twenty".