38358642247680 has 192 divisors, whose sum is σ = 122912230896000. Its totient is φ = 10212755374080.

The previous prime is 38358642247621. The next prime is 38358642247711. The reversal of 38358642247680 is 8674224685383.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18394896 + ... + 20373744.

It is an arithmetic number, because the mean of its divisors is an integer number (640167869250).

Almost surely, 2^{38358642247680} is an apocalyptic number.

38358642247680 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 38358642247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61456115448000).

38358642247680 is an abundant number, since it is smaller than the sum of its proper divisors (84553588648320).

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

38358642247680 is a wasteful number, since it uses less digits than its factorization.

38358642247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979510 (or 1979490 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 66.

The spelling of 38358642247680 in words is "thirty-eight trillion, three hundred fifty-eight billion, six hundred forty-two million, two hundred forty-seven thousand, six hundred eighty".