38294890920 has 768 divisors, whose sum is σ = 153269625600. Its totient is φ = 8164638720.

The previous prime is 38294890919. The next prime is 38294890967. The reversal of 38294890920 is 2909849283.

It is a happy number.

38294890920 is a `hidden beast` number, since 382 + 94 + 8 + 90 + 92 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 168699847 + ... + 168700073.

It is an arithmetic number, because the mean of its divisors is an integer number (199569825).

Almost surely, 2^38294890920 is an apocalyptic number.

38294890920 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 38294890920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76634812800).

38294890920 is an abundant number, since it is smaller than the sum of its proper divisors (114974734680).

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

38294890920 is a wasteful number, since it uses less digits than its factorization.

38294890920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 38294890920 in words is "thirty-eight billion, two hundred ninety-four million, eight hundred ninety thousand, nine hundred twenty".