38753609760 has 192 divisors, whose sum is σ = 136204104960. Its totient is φ = 10291138560.

The previous prime is 38753609753. The next prime is 38753609771. The reversal of 38753609760 is 6790635783.

38753609760 is a `hidden beast` number, since 38 + 7 + 536 + 0 + 9 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38753609697 and 38753609706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022509 + ... + 1059731.

It is an arithmetic number, because the mean of its divisors is an integer number (709396380).

Almost surely, 2^38753609760 is an apocalyptic number.

38753609760 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 38753609760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68102052480).

38753609760 is an abundant number, since it is smaller than the sum of its proper divisors (97450495200).

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

38753609760 is a wasteful number, since it uses less digits than its factorization.

38753609760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37488 (or 37474 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 38753609760 in words is "thirty-eight billion, seven hundred fifty-three million, six hundred nine thousand, seven hundred sixty".