349200800 has 72 divisors (see below), whose sum is σ = 918089676. Its totient is φ = 128931840.

The previous prime is 349200799. The next prime is 349200809. The reversal of 349200800 is 8002943.

It can be written as a sum of positive squares in 6 ways, for example, as 98168464 + 251032336 = 9908^2 + 15844^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 349200800.

It is not an unprimeable number, because it can be changed into a prime (349200809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6389 + ... + 27188.

Almost surely, 2^349200800 is an apocalyptic number.

It is an amenable number.

349200800 is an abundant number, since it is smaller than the sum of its proper divisors (568888876).

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

349200800 is a wasteful number, since it uses less digits than its factorization.

349200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33610 (or 33597 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 349200800 is about 18686.9152082413. The cubic root of 349200800 is about 704.1930643015.

The spelling of 349200800 in words is "three hundred forty-nine million, two hundred thousand, eight hundred".