38982246226560 has 3072 divisors, whose sum is σ = 186336151142400. Its totient is φ = 7611910225920.

The previous prime is 38982246226501. The next prime is 38982246226577. The reversal of 38982246226560 is 6562264228983.

It is a happy number.

38982246226560 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 2 + 2 + 4 + 62 + 2 + 6 + 560 = 666.

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 383 ways as a sum of consecutive naturals, for example, 7848245197 + ... + 7848250163.

It is an arithmetic number, because the mean of its divisors is an integer number (60656299200).

Almost surely, 2^{38982246226560} is an apocalyptic number.

38982246226560 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 38982246226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93168075571200).

38982246226560 is an abundant number, since it is smaller than the sum of its proper divisors (147353904915840).

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

38982246226560 is a wasteful number, since it uses less digits than its factorization.

38982246226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 38982246226560 in words is "thirty-eight trillion, nine hundred eighty-two billion, two hundred forty-six million, two hundred twenty-six thousand, five hundred sixty".