38505192960 has 320 divisors, whose sum is σ = 133777562688. Its totient is φ = 9391570944.

The previous prime is 38505192937. The next prime is 38505193007. The reversal of 38505192960 is 6929150583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 11280214 + ... + 11283626.

Almost surely, 2^38505192960 is an apocalyptic number.

38505192960 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 38505192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66888781344).

38505192960 is an abundant number, since it is smaller than the sum of its proper divisors (95272369728).

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

38505192960 is a wasteful number, since it uses less digits than its factorization.

38505192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 38505192960 in words is "thirty-eight billion, five hundred five million, one hundred ninety-two thousand, nine hundred sixty".