3349265920 has 320 divisors, whose sum is σ = 10790309376. Its totient is φ = 962887680.

The previous prime is 3349265917. The next prime is 3349265963. The reversal of 3349265920 is 295629433.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3349265920² = 22435164405746892800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2561907 + ... + 2563213.

Almost surely, 2^3349265920 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 3349265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395154688).

3349265920 is an abundant number, since it is smaller than the sum of its proper divisors (7441043456).

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

3349265920 is a wasteful number, since it uses less digits than its factorization.

3349265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The square root of 3349265920 is about 57872.8426811747. The cubic root of 3349265920 is about 1496.1778125649.

The spelling of 3349265920 in words is "three billion, three hundred forty-nine million, two hundred sixty-five thousand, nine hundred twenty".