345813880 has 64 divisors (see below), whose sum is σ = 795484800. Its totient is φ = 135260160.

The previous prime is 345813857. The next prime is 345813883. The reversal of 345813880 is 88318543.

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 (345813883) 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, 582864 + ... + 583456.

It is an arithmetic number, because the mean of its divisors is an integer number (12429450).

Almost surely, 2^345813880 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 345813880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397742400).

345813880 is an abundant number, since it is smaller than the sum of its proper divisors (449670920).

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

345813880 is a wasteful number, since it uses less digits than its factorization.

345813880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 345813880 is about 18596.0716281692. The cubic root of 345813880 is about 701.9089932701.

The spelling of 345813880 in words is "three hundred forty-five million, eight hundred thirteen thousand, eight hundred eighty".