349456800 has 576 divisors, whose sum is σ = 1487904768. Its totient is φ = 69120000.

The previous prime is 349456799. The next prime is 349456813. The reversal of 349456800 is 8654943.

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 95 ways as a sum of consecutive naturals, for example, 5728770 + ... + 5728830.

It is an arithmetic number, because the mean of its divisors is an integer number (2583168).

Almost surely, 2^349456800 is an apocalyptic number.

349456800 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 349456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743952384).

349456800 is an abundant number, since it is smaller than the sum of its proper divisors (1138447968).

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

349456800 is a wasteful number, since it uses less digits than its factorization.

349456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 349456800 is about 18693.7636659930. The cubic root of 349456800 is about 704.3651041798.

The spelling of 349456800 in words is "three hundred forty-nine million, four hundred fifty-six thousand, eight hundred".