345902000 has 80 divisors (see below), whose sum is σ = 845487552. Its totient is φ = 136857600.

The previous prime is 345901987. The next prime is 345902023. The reversal of 345902000 is 209543.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193109 + ... + 194891.

Almost surely, 2^345902000 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 345902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422743776).

345902000 is an abundant number, since it is smaller than the sum of its proper divisors (499585552).

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

345902000 is a wasteful number, since it uses less digits than its factorization.

345902000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 345902000 is about 18598.4407948623. The cubic root of 345902000 is about 701.9686081584.

The spelling of 345902000 in words is "three hundred forty-five million, nine hundred two thousand".