345196800 has 324 divisors, whose sum is σ = 1331974644. Its totient is φ = 84787200.

The previous prime is 345196799. The next prime is 345196823. The reversal of 345196800 is 8691543.

It can be written as a sum of positive squares in 6 ways, for example, as 59721984 + 285474816 = 7728^2 + 16896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748570 + ... + 749030.

Almost surely, 2^345196800 is an apocalyptic number.

345196800 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 345196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665987322).

345196800 is an abundant number, since it is smaller than the sum of its proper divisors (986777844).

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

345196800 is a wasteful number, since it uses less digits than its factorization.

345196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 345196800 is about 18579.4725436434. The cubic root of 345196800 is about 701.4912426490.

The spelling of 345196800 in words is "three hundred forty-five million, one hundred ninety-six thousand, eight hundred".