349624860 has 96 divisors (see below), whose sum is σ = 1065352512. Its totient is φ = 85155840.

The previous prime is 349624859. The next prime is 349624861. The reversal of 349624860 is 68426943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (349624859) and next prime (349624861).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349624861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73350 + ... + 77970.

It is an arithmetic number, because the mean of its divisors is an integer number (11097422).

Almost surely, 2^349624860 is an apocalyptic number.

349624860 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 349624860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532676256).

349624860 is an abundant number, since it is smaller than the sum of its proper divisors (715727652).

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

349624860 is a wasteful number, since it uses less digits than its factorization.

349624860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 349624860 is about 18698.2582076513. The cubic root of 349624860 is about 704.4779999923.

The spelling of 349624860 in words is "three hundred forty-nine million, six hundred twenty-four thousand, eight hundred sixty".