375677424 has 240 divisors, whose sum is σ = 1206485280. Its totient is φ = 108380160.

The previous prime is 375677413. The next prime is 375677429. The reversal of 375677424 is 424776573.

It is a super-2 number, since 2×375677424² = 282267053806551552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (987840) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 375677424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375677429) by changing a digit.

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, 1906894 + ... + 1907090.

It is an arithmetic number, because the mean of its divisors is an integer number (5027022).

Almost surely, 2^375677424 is an apocalyptic number.

375677424 is a gapful number since it is divisible by the number (34) 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 375677424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603242640).

375677424 is an abundant number, since it is smaller than the sum of its proper divisors (830807856).

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

375677424 is a wasteful number, since it uses less digits than its factorization.

375677424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 279 counting only the distinct ones).

The product of its digits is 987840, while the sum is 45.

The square root of 375677424 is about 19382.3998514116. The cubic root of 375677424 is about 721.5587525976.

The spelling of 375677424 in words is "three hundred seventy-five million, six hundred seventy-seven thousand, four hundred twenty-four".