342874000 has 160 divisors (see below), whose sum is σ = 998150400. Its totient is φ = 111283200.

The previous prime is 342873961. The next prime is 342874001. The reversal of 342874000 is 478243.

342874000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 342874000.

It is not an unprimeable number, because it can be changed into a prime (342874001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265356 + ... + 266644.

It is an arithmetic number, because the mean of its divisors is an integer number (6238440).

Almost surely, 2^342874000 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 342874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499075200).

342874000 is an abundant number, since it is smaller than the sum of its proper divisors (655276400).

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

342874000 is a wasteful number, since it uses less digits than its factorization.

342874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 342874000 is about 18516.8571847385. The cubic root of 342874000 is about 699.9142752165.

The spelling of 342874000 in words is "three hundred forty-two million, eight hundred seventy-four thousand".