375429600 has 576 divisors, whose sum is σ = 1679892480. Its totient is φ = 78796800.

The previous prime is 375429599. The next prime is 375429617. The reversal of 375429600 is 6924573.

375429600 is a `hidden beast` number, since 3 + 7 + 5 + 42 + 9 + 600 = 666.

375429600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1965505 + ... + 1965695.

It is an arithmetic number, because the mean of its divisors is an integer number (2916480).

Almost surely, 2^375429600 is an apocalyptic number.

375429600 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 375429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839946240).

375429600 is an abundant number, since it is smaller than the sum of its proper divisors (1304462880).

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

375429600 is a wasteful number, since it uses less digits than its factorization.

375429600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 375429600 is about 19376.0057803460. The cubic root of 375429600 is about 721.4000535826.

The spelling of 375429600 in words is "three hundred seventy-five million, four hundred twenty-nine thousand, six hundred".