343674000 has 240 divisors, whose sum is σ = 1223914224. Its totient is φ = 89856000.

The previous prime is 343673987. The next prime is 343674031. The reversal of 343674000 is 476343.

It can be written as a sum of positive squares in 8 ways, for example, as 311593104 + 32080896 = 17652^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×343674000² = 236223636552000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1097844 + ... + 1098156.

Almost surely, 2^343674000 is an apocalyptic number.

343674000 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 343674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611957112).

343674000 is an abundant number, since it is smaller than the sum of its proper divisors (880240224).

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

343674000 is a wasteful number, since it uses less digits than its factorization.

343674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 384 counting only the distinct ones).

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

The square root of 343674000 is about 18538.4465368596. The cubic root of 343674000 is about 700.4582034068.

The spelling of 343674000 in words is "three hundred forty-three million, six hundred seventy-four thousand".