38279213280 has 960 divisors, whose sum is σ = 170716170240. Its totient is φ = 7846502400.

The previous prime is 38279213263. The next prime is 38279213311. The reversal of 38279213280 is 8231297283.

38279213280 is a `hidden beast` number, since 38 + 279 + 21 + 328 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88814665 + ... + 88815095.

It is an arithmetic number, because the mean of its divisors is an integer number (177829344).

Almost surely, 2^38279213280 is an apocalyptic number.

38279213280 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 38279213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85358085120).

38279213280 is an abundant number, since it is smaller than the sum of its proper divisors (132436956960).

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

38279213280 is a wasteful number, since it uses less digits than its factorization.

38279213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 38279213280 in words is "thirty-eight billion, two hundred seventy-nine million, two hundred thirteen thousand, two hundred eighty".