349694400 has 336 divisors, whose sum is σ = 1292595840. Its totient is φ = 82022400.

The previous prime is 349694399. The next prime is 349694417. The reversal of 349694400 is 4496943.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1953511 + ... + 1953689.

Almost surely, 2^349694400 is an apocalyptic number.

349694400 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 349694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646297920).

349694400 is an abundant number, since it is smaller than the sum of its proper divisors (942901440).

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

349694400 is a wasteful number, since it uses less digits than its factorization.

349694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 349694400 is about 18700.1176466888. The cubic root of 349694400 is about 704.5247035291.

The spelling of 349694400 in words is "three hundred forty-nine million, six hundred ninety-four thousand, four hundred".