38962264880 has 320 divisors, whose sum is σ = 119306649600. Its totient is φ = 11464104960.

The previous prime is 38962264879. The next prime is 38962264969. The reversal of 38962264880 is 8846226983.

It is a hoax number, since the sum of its digits (56) 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 (56).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54189161 + ... + 54189879.

It is an arithmetic number, because the mean of its divisors is an integer number (372833280).

Almost surely, 2^38962264880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38962264880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59653324800).

38962264880 is an abundant number, since it is smaller than the sum of its proper divisors (80344384720).

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

38962264880 is a wasteful number, since it uses less digits than its factorization.

38962264880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 56.

The spelling of 38962264880 in words is "thirty-eight billion, nine hundred sixty-two million, two hundred sixty-four thousand, eight hundred eighty".