375872640 has 384 divisors, whose sum is σ = 1446621120. Its totient is φ = 81838080.

The previous prime is 375872639. The next prime is 375872663. The reversal of 375872640 is 46278573.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 375872592 and 375872601.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10158702 + ... + 10158738.

Almost surely, 2^375872640 is an apocalyptic number.

375872640 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 375872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723310560).

375872640 is an abundant number, since it is smaller than the sum of its proper divisors (1070748480).

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

375872640 is a wasteful number, since it uses less digits than its factorization.

375872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 375872640 is about 19387.4351062744. The cubic root of 375872640 is about 721.6837139011.

The spelling of 375872640 in words is "three hundred seventy-five million, eight hundred seventy-two thousand, six hundred forty".