345515840 has 56 divisors (see below), whose sum is σ = 830531232. Its totient is φ = 136901120.

The previous prime is 345515839. The next prime is 345515861. The reversal of 345515840 is 48515543.

It is a self number, because there is not a number n which added to its sum of digits gives 345515840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29195 + ... + 39285.

Almost surely, 2^345515840 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 345515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415265616).

345515840 is an abundant number, since it is smaller than the sum of its proper divisors (485015392).

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

345515840 is a wasteful number, since it uses less digits than its factorization.

345515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10215 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 345515840 is about 18588.0563803750. The cubic root of 345515840 is about 701.7072883491.

The spelling of 345515840 in words is "three hundred forty-five million, five hundred fifteen thousand, eight hundred forty".