674334000 has 120 divisors (see below), whose sum is σ = 2355286752. Its totient is φ = 179817600.

The previous prime is 674333983. The next prime is 674334007. The reversal of 674334000 is 433476.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (674334007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732 + ... + 36731.

Almost surely, 2^674334000 is an apocalyptic number.

674334000 is a gapful number since it is divisible by the number (60) 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 674334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177643376).

674334000 is an abundant number, since it is smaller than the sum of its proper divisors (1680952752).

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

674334000 is a wasteful number, since it uses less digits than its factorization.

674334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37492 (or 37473 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 674334000 is about 25967.9417744264. The cubic root of 674334000 is about 876.9167234429.

Adding to 674334000 its reverse (433476), we get a palindrome (674767476).

The spelling of 674334000 in words is "six hundred seventy-four million, three hundred thirty-four thousand".