38833800480 has 144 divisors (see below), whose sum is σ = 134693113464. Its totient is φ = 10185891840.

The previous prime is 38833800479. The next prime is 38833800529. The reversal of 38833800480 is 8400833883.

It can be written as a sum of positive squares in 4 ways, for example, as 14374091664 + 24459708816 = 119892^2 + 156396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133209 + ... + 308888.

Almost surely, 2^38833800480 is an apocalyptic number.

38833800480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38833800480 is an abundant number, since it is smaller than the sum of its proper divisors (95859312984).

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

38833800480 is a wasteful number, since it uses less digits than its factorization.

38833800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442179 (or 442168 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 38833800480 in words is "thirty-eight billion, eight hundred thirty-three million, eight hundred thousand, four hundred eighty".