374688 has 36 divisors (see below), whose sum is σ = 1066338. Its totient is φ = 124800.

The previous prime is 374687. The next prime is 374701. The reversal of 374688 is 886473.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 144 = 612^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 3² + 7³ + 6⁶ + 4⁹ + 8⁵ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (374681) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 363 + ... + 938.

2³⁷⁴⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

374688 is an abundant number, since it is smaller than the sum of its proper divisors (691650).

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

374688 is a wasteful number, since it uses less digits than its factorization.

374688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1306 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 374688 is about 612.1176357531. The cubic root of 374688 is about 72.0924737723.

It can be divided in two parts, 3 and 74688, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 374688 in words is "three hundred seventy-four thousand, six hundred eighty-eight".