375344640 has 240 divisors, whose sum is σ = 1419056496. Its totient is φ = 90931200.

The previous prime is 375344633. The next prime is 375344657. The reversal of 375344640 is 46443573.

It is a happy number.

375344640 is a `hidden beast` number, since 3 + 7 + 5 + 3 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 375344595 and 375344604.

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 23 ways as a sum of consecutive naturals, for example, 252700 + ... + 254180.

Almost surely, 2^375344640 is an apocalyptic number.

375344640 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 375344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709528248).

375344640 is an abundant number, since it is smaller than the sum of its proper divisors (1043711856).

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

375344640 is a wasteful number, since it uses less digits than its factorization.

375344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 375344640 is about 19373.8132539776. The cubic root of 375344640 is about 721.3456316861.

The spelling of 375344640 in words is "three hundred seventy-five million, three hundred forty-four thousand, six hundred forty".