38814981660 has 288 divisors, whose sum is σ = 145141581312. Its totient is φ = 8176412160.

The previous prime is 38814981643. The next prime is 38814981661. The reversal of 38814981660 is 6618941883.

38814981660 is a `hidden beast` number, since 3 + 8 + 81 + 498 + 16 + 60 = 666.

It is a super-2 number, since 2×38814981660² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38814981597 and 38814981606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38814981661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12889555 + ... + 12892565.

It is an arithmetic number, because the mean of its divisors is an integer number (503963824).

Almost surely, 2^38814981660 is an apocalyptic number.

38814981660 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 38814981660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72570790656).

38814981660 is an abundant number, since it is smaller than the sum of its proper divisors (106326599652).

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

38814981660 is a wasteful number, since it uses less digits than its factorization.

38814981660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 38814981660 in words is "thirty-eight billion, eight hundred fourteen million, nine hundred eighty-one thousand, six hundred sixty".