938376840 has 128 divisors (see below), whose sum is σ = 2917555200. Its totient is φ = 241274880.

The previous prime is 938376827. The next prime is 938376871. The reversal of 938376840 is 48673839.

It is a cake number, because a cake can be divided into 938376840 parts by 1779 planar cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 938376840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436809 + ... + 438951.

It is an arithmetic number, because the mean of its divisors is an integer number (22793400).

Almost surely, 2^938376840 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 938376840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458777600).

938376840 is an abundant number, since it is smaller than the sum of its proper divisors (1979178360).

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

938376840 is a wasteful number, since it uses less digits than its factorization.

938376840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 938376840 is about 30632.9371755305. The cubic root of 938376840 is about 979.0219452164.

The spelling of 938376840 in words is "nine hundred thirty-eight million, three hundred seventy-six thousand, eight hundred forty".