38352964075680 has 384 divisors, whose sum is σ = 125704994688000. Its totient is φ = 9820590833664.

The previous prime is 38352964075639. The next prime is 38352964075691. The reversal of 38352964075680 is 8657046925383.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3974807496 + ... + 3974817144.

It is an arithmetic number, because the mean of its divisors is an integer number (327356757000).

Almost surely, 2^{38352964075680} is an apocalyptic number.

38352964075680 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 38352964075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62852497344000).

38352964075680 is an abundant number, since it is smaller than the sum of its proper divisors (87352030612320).

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

38352964075680 is a wasteful number, since it uses less digits than its factorization.

38352964075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12608 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 66.

The spelling of 38352964075680 in words is "thirty-eight trillion, three hundred fifty-two billion, nine hundred sixty-four million, seventy-five thousand, six hundred eighty".