374808000 has 448 divisors, whose sum is σ = 1491130368. Its totient is φ = 81100800.

The previous prime is 374807999. The next prime is 374808001. The reversal of 374808000 is 808473.

It is an interprime number because it is at equal distance from previous prime (374807999) and next prime (374808001).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374808001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3863952 + ... + 3864048.

It is an arithmetic number, because the mean of its divisors is an integer number (3328416).

Almost surely, 2^374808000 is an apocalyptic number.

374808000 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 374808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745565184).

374808000 is an abundant number, since it is smaller than the sum of its proper divisors (1116322368).

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

374808000 is a wasteful number, since it uses less digits than its factorization.

374808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 374808000 is about 19359.9586776419. The cubic root of 374808000 is about 721.0016921801.

The spelling of 374808000 in words is "three hundred seventy-four million, eight hundred eight thousand".