343678000 has 80 divisors (see below), whose sum is σ = 835776864. Its totient is φ = 136684800.

The previous prime is 343677979. The next prime is 343678003. The reversal of 343678000 is 876343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×343678000² = 236229135368000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (343678003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453622 + ... + 454378.

Almost surely, 2^343678000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417888432).

343678000 is an abundant number, since it is smaller than the sum of its proper divisors (492098864).

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

343678000 is a wasteful number, since it uses less digits than its factorization.

343678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 343678000 is about 18538.5544204504. The cubic root of 343678000 is about 700.4609209259.

The spelling of 343678000 in words is "three hundred forty-three million, six hundred seventy-eight thousand".