345994880 has 384 divisors, whose sum is σ = 1130241600. Its totient is φ = 99778560.

The previous prime is 345994861. The next prime is 345994903. The reversal of 345994880 is 88499543.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5864291 + ... + 5864349.

Almost surely, 2^345994880 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 345994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565120800).

345994880 is an abundant number, since it is smaller than the sum of its proper divisors (784246720).

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

345994880 is a wasteful number, since it uses less digits than its factorization.

345994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The square root of 345994880 is about 18600.9376107765. The cubic root of 345994880 is about 702.0314323201.

The spelling of 345994880 in words is "three hundred forty-five million, nine hundred ninety-four thousand, eight hundred eighty".