349624800 has 324 divisors, whose sum is σ = 1435595616. Its totient is φ = 79833600.

The previous prime is 349624741. The next prime is 349624853. The reversal of 349624800 is 8426943.

It is a happy number.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352305 + ... + 353295.

Almost surely, 2^349624800 is an apocalyptic number.

349624800 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 349624800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717797808).

349624800 is an abundant number, since it is smaller than the sum of its proper divisors (1085970816).

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

349624800 is a wasteful number, since it uses less digits than its factorization.

349624800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1008 counting only the distinct ones).

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

The square root of 349624800 is about 18698.2566032237. The cubic root of 349624800 is about 704.4779596932.

The spelling of 349624800 in words is "three hundred forty-nine million, six hundred twenty-four thousand, eight hundred".