38275024973760 has 672 divisors, whose sum is σ = 144857419200000. Its totient is φ = 9233954242560.

The previous prime is 38275024973681. The next prime is 38275024973767. The reversal of 38275024973760 is 6737942057283.

38275024973760 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 50 + 2 + 497 + 37 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38275024973767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226061616 + ... + 226230864.

Almost surely, 2^{38275024973760} is an apocalyptic number.

38275024973760 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 38275024973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72428709600000).

38275024973760 is an abundant number, since it is smaller than the sum of its proper divisors (106582394226240).

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

38275024973760 is a wasteful number, since it uses less digits than its factorization.

38275024973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169469 (or 169456 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 38275024973760 in words is "thirty-eight trillion, two hundred seventy-five billion, twenty-four million, nine hundred seventy-three thousand, seven hundred sixty".