345364800 has 336 divisors, whose sum is σ = 1282013184. Its totient is φ = 80640000.

The previous prime is 345364787. The next prime is 345364823. The reversal of 345364800 is 8463543.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1636695 + ... + 1636905.

Almost surely, 2^345364800 is an apocalyptic number.

345364800 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 345364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641006592).

345364800 is an abundant number, since it is smaller than the sum of its proper divisors (936648384).

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

345364800 is a wasteful number, since it uses less digits than its factorization.

345364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 345364800 is about 18583.9931123534. The cubic root of 345364800 is about 701.6050245221.

The spelling of 345364800 in words is "three hundred forty-five million, three hundred sixty-four thousand, eight hundred".