345890560 has 144 divisors (see below), whose sum is σ = 894781440. Its totient is φ = 127733760.

The previous prime is 345890549. The next prime is 345890563. The reversal of 345890560 is 65098543.

It is a super-2 number, since 2×345890560² = 239280558994227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345890563) 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, 912451 + ... + 912829.

It is an arithmetic number, because the mean of its divisors is an integer number (6213760).

Almost surely, 2^345890560 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 345890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447390720).

345890560 is an abundant number, since it is smaller than the sum of its proper divisors (548890880).

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

345890560 is a wasteful number, since it uses less digits than its factorization.

345890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 345890560 is about 18598.1332396561. The cubic root of 345890560 is about 701.9608693486.

The spelling of 345890560 in words is "three hundred forty-five million, eight hundred ninety thousand, five hundred sixty".