349240800 has 72 divisors (see below), whose sum is σ = 1136786616. Its totient is φ = 93130240.

The previous prime is 349240789. The next prime is 349240807. The reversal of 349240800 is 8042943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349240807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70359 + ... + 75158.

It is an arithmetic number, because the mean of its divisors is an integer number (15788703).

Almost surely, 2^349240800 is an apocalyptic number.

349240800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349240800 is an abundant number, since it is smaller than the sum of its proper divisors (787545816).

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

349240800 is a wasteful number, since it uses less digits than its factorization.

349240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145540 (or 145527 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 349240800 is about 18687.9854451998. The cubic root of 349240800 is about 704.2199510737.

The spelling of 349240800 in words is "three hundred forty-nine million, two hundred forty thousand, eight hundred".