349413240 has 256 divisors, whose sum is σ = 1265310720. Its totient is φ = 76144640.

The previous prime is 349413179. The next prime is 349413277. The reversal of 349413240 is 42314943.

It is a super-2 number, since 2×349413240² = 244179224574595200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 349413198 and 349413207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515782 + ... + 516458.

It is an arithmetic number, because the mean of its divisors is an integer number (4942620).

Almost surely, 2^349413240 is an apocalyptic number.

349413240 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 349413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632655360).

349413240 is an abundant number, since it is smaller than the sum of its proper divisors (915897480).

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

349413240 is a wasteful number, since it uses less digits than its factorization.

349413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 349413240 is about 18692.5985352492. The cubic root of 349413240 is about 704.3358364526.

The spelling of 349413240 in words is "three hundred forty-nine million, four hundred thirteen thousand, two hundred forty".