349642800 has 360 divisors, whose sum is σ = 1354441088. Its totient is φ = 82944000.

The previous prime is 349642781. The next prime is 349642841. The reversal of 349642800 is 8246943.

It is a happy number.

349642800 is a `hidden beast` number, since 3 + 4 + 9 + 642 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a zygodrome in base 12.

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 71 ways as a sum of consecutive naturals, for example, 1450680 + ... + 1450920.

Almost surely, 2^349642800 is an apocalyptic number.

349642800 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 349642800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677220544).

349642800 is an abundant number, since it is smaller than the sum of its proper divisors (1004798288).

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

349642800 is a wasteful number, since it uses less digits than its factorization.

349642800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 349642800 is about 18698.7379253253. The cubic root of 349642800 is about 704.4900492110.

The spelling of 349642800 in words is "three hundred forty-nine million, six hundred forty-two thousand, eight hundred".