349875720 has 128 divisors (see below), whose sum is σ = 1206576000. Its totient is φ = 90074880.

The previous prime is 349875707. The next prime is 349875731. The reversal of 349875720 is 27578943.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25735 + ... + 36905.

It is an arithmetic number, because the mean of its divisors is an integer number (9426375).

Almost surely, 2^349875720 is an apocalyptic number.

349875720 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 349875720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288000).

349875720 is an abundant number, since it is smaller than the sum of its proper divisors (856700280).

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

349875720 is a wasteful number, since it uses less digits than its factorization.

349875720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11220 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 349875720 is about 18704.9651162465. The cubic root of 349875720 is about 704.6464501615.

The spelling of 349875720 in words is "three hundred forty-nine million, eight hundred seventy-five thousand, seven hundred twenty".