38822589480960 has 1440 divisors, whose sum is σ = 146909369198592. Its totient is φ = 9821418946560.

The previous prime is 38822589480947. The next prime is 38822589480979. The reversal of 38822589480960 is 6908498522883.

38822589480960 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 2 + 5 + 89 + 480 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×38822589480960³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32706477487 + ... + 32706478673.

Almost surely, 2^{38822589480960} is an apocalyptic number.

38822589480960 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 38822589480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73454684599296).

38822589480960 is an abundant number, since it is smaller than the sum of its proper divisors (108086779717632).

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

38822589480960 is an equidigital number, since it uses as much as digits as its factorization.

38822589480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 38822589480960 in words is "thirty-eight trillion, eight hundred twenty-two billion, five hundred eighty-nine million, four hundred eighty thousand, nine hundred sixty".