38057610240 has 792 divisors, whose sum is σ = 148899402288. Its totient is φ = 9316270080.

The previous prime is 38057610233. The next prime is 38057610251. The reversal of 38057610240 is 4201675083.

38057610240 is a `hidden beast` number, since 3 + 80 + 576 + 1 + 0 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38057610195 and 38057610204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210262950 + ... + 210263130.

Almost surely, 2^38057610240 is an apocalyptic number.

38057610240 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 38057610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74449701144).

38057610240 is an abundant number, since it is smaller than the sum of its proper divisors (110841792048).

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

38057610240 is a wasteful number, since it uses less digits than its factorization.

38057610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 38057610240 in words is "thirty-eight billion, fifty-seven million, six hundred ten thousand, two hundred forty".