349502400 has 252 divisors, whose sum is σ = 1338485512. Its totient is φ = 85985280.

The previous prime is 349502393. The next prime is 349502423. The reversal of 349502400 is 4205943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186267 + ... + 188133.

Almost surely, 2^349502400 is an apocalyptic number.

349502400 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 349502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669242756).

349502400 is an abundant number, since it is smaller than the sum of its proper divisors (988983112).

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

349502400 is a wasteful number, since it uses less digits than its factorization.

349502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 349502400 is about 18694.9832842931. The cubic root of 349502400 is about 704.3957399663.

The spelling of 349502400 in words is "three hundred forty-nine million, five hundred two thousand, four hundred".