345513600 has 480 divisors, whose sum is σ = 1346759040. Its totient is φ = 87091200.

The previous prime is 345513583. The next prime is 345513607. The reversal of 345513600 is 6315543.

345513600 is a `hidden beast` number, since 3 + 4 + 5 + 51 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (345513607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8035179 + ... + 8035221.

It is an arithmetic number, because the mean of its divisors is an integer number (2805748).

Almost surely, 2^345513600 is an apocalyptic number.

345513600 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 345513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673379520).

345513600 is an abundant number, since it is smaller than the sum of its proper divisors (1001245440).

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

345513600 is a wasteful number, since it uses less digits than its factorization.

345513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 345513600 is about 18587.9961265328. The cubic root of 345513600 is about 701.7057719423.

The spelling of 345513600 in words is "three hundred forty-five million, five hundred thirteen thousand, six hundred".