345710700 has 288 divisors, whose sum is σ = 1224921600. Its totient is φ = 83255040.

The previous prime is 345710689. The next prime is 345710707. The reversal of 345710700 is 7017543.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (345710707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1179754 + ... + 1180046.

It is an arithmetic number, because the mean of its divisors is an integer number (4253200).

Almost surely, 2^345710700 is an apocalyptic number.

345710700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345710700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612460800).

345710700 is an abundant number, since it is smaller than the sum of its proper divisors (879210900).

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

345710700 is a wasteful number, since it uses less digits than its factorization.

345710700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 345710700 is about 18593.2971793601. The cubic root of 345710700 is about 701.8391771269.

The spelling of 345710700 in words is "three hundred forty-five million, seven hundred ten thousand, seven hundred".