349339540 has 48 divisors (see below), whose sum is σ = 803416320. Its totient is φ = 126538880.

The previous prime is 349339537. The next prime is 349339547. The reversal of 349339540 is 45933943.

It is a super-2 number, since 2×349339540² = 244076228414823200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 349339493 and 349339502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349339547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56229 + ... + 62131.

It is an arithmetic number, because the mean of its divisors is an integer number (16737840).

Almost surely, 2^349339540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349339540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401708160).

349339540 is an abundant number, since it is smaller than the sum of its proper divisors (454076780).

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

349339540 is a wasteful number, since it uses less digits than its factorization.

349339540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 40.

The square root of 349339540 is about 18690.6270627820. The cubic root of 349339540 is about 704.2863122834.

It can be divided in two parts, 349 and 339540, that added together give a square (339889 = 583²).

The spelling of 349339540 in words is "three hundred forty-nine million, three hundred thirty-nine thousand, five hundred forty".