349915860 has 216 divisors, whose sum is σ = 1250481960. Its totient is φ = 78962688.

The previous prime is 349915847. The next prime is 349915873. The reversal of 349915860 is 68519943.

It is a happy number.

349915860 is a `hidden beast` number, since 3 + 499 + 158 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (349915847) and next prime (349915873).

It can be written as a sum of positive squares in 4 ways, for example, as 92505924 + 257409936 = 9618^2 + 16044^2 .

It is a super-2 number, since 2×349915860² = 244882218159079200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 855336 + ... + 855744.

Almost surely, 2^349915860 is an apocalyptic number.

349915860 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 349915860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625240980).

349915860 is an abundant number, since it is smaller than the sum of its proper divisors (900566100).

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

349915860 is a wasteful number, since it uses less digits than its factorization.

349915860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 349915860 is about 18706.0380626150. The cubic root of 349915860 is about 704.6733963267.

The spelling of 349915860 in words is "three hundred forty-nine million, nine hundred fifteen thousand, eight hundred sixty".