38295724652640 has 768 divisors, whose sum is σ = 165079511654400. Its totient is φ = 8074427203584.

The previous prime is 38295724652587. The next prime is 38295724652677. The reversal of 38295724652640 is 4625642759283.

38295724652640 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 572 + 4 + 6 + 52 + 6 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 585322969 + ... + 585388391.

It is an arithmetic number, because the mean of its divisors is an integer number (214947280800).

Almost surely, 2^{38295724652640} is an apocalyptic number.

38295724652640 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 38295724652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82539755827200).

38295724652640 is an abundant number, since it is smaller than the sum of its proper divisors (126783787001760).

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

38295724652640 is a wasteful number, since it uses less digits than its factorization.

38295724652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66956 (or 66942 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 38295724652640 in words is "thirty-eight trillion, two hundred ninety-five billion, seven hundred twenty-four million, six hundred fifty-two thousand, six hundred forty".