38259241483680 has 192 divisors, whose sum is σ = 153036966055680. Its totient is φ = 8744969475072.

The previous prime is 38259241483601. The next prime is 38259241483741. The reversal of 38259241483680 is 8638414295283.

38259241483680 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 92 + 4 + 1 + 483 + 68 + 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632563039 + ... + 632623518.

It is an arithmetic number, because the mean of its divisors is an integer number (797067531540).

Almost surely, 2^{38259241483680} is an apocalyptic number.

38259241483680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38259241483680 is an abundant number, since it is smaller than the sum of its proper divisors (114777724572000).

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

38259241483680 is a wasteful number, since it uses less digits than its factorization.

38259241483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265186588 (or 1265186574 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 38259241483680 in words is "thirty-eight trillion, two hundred fifty-nine billion, two hundred forty-one million, four hundred eighty-three thousand, six hundred eighty".