38090938582980 has 36 divisors (see below), whose sum is σ = 115542513702252. Its totient is φ = 10157583622080.

The previous prime is 38090938582967. The next prime is 38090938582981. The reversal of 38090938582980 is 8928583909083.

38090938582980 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 0 + 9 + 38 + 582 + 9 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15096535201476 + 22994403381504 = 3885426^2 + 4795248^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 38090938582899 and 38090938582908.

It is not an unprimeable number, because it can be changed into a prime (38090938582981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105808162551 + ... + 105808162910.

It is an arithmetic number, because the mean of its divisors is an integer number (3209514269507).

Almost surely, 2^{38090938582980} is an apocalyptic number.

38090938582980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38090938582980 is an abundant number, since it is smaller than the sum of its proper divisors (77451575119272).

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

38090938582980 is a wasteful number, since it uses less digits than its factorization.

38090938582980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211616325476 (or 211616325471 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 38090938582980 in words is "thirty-eight trillion, ninety billion, nine hundred thirty-eight million, five hundred eighty-two thousand, nine hundred eighty".