349316400 has 120 divisors (see below), whose sum is σ = 1130889424. Its totient is φ = 92160000.

The previous prime is 349316399. The next prime is 349316417. The reversal of 349316400 is 4613943.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114900 + ... + 117900.

Almost surely, 2^349316400 is an apocalyptic number.

349316400 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 349316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565444712).

349316400 is an abundant number, since it is smaller than the sum of its proper divisors (781573024).

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

349316400 is a wasteful number, since it uses less digits than its factorization.

349316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 349316400 is about 18690.0080256805. The cubic root of 349316400 is about 704.2707614670.

The spelling of 349316400 in words is "three hundred forty-nine million, three hundred sixteen thousand, four hundred".