3349015000704 has 96 divisors (see below), whose sum is σ = 9646581830340. Its totient is φ = 1115244564480.

The previous prime is 3349015000699. The next prime is 3349015000739. The reversal of 3349015000704 is 4070005109433.

It can be written as a sum of positive squares in 2 ways, for example, as 3347582529600 + 1432471104 = 1829640^2 + 37848^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3349015000704² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247477 + ... + 2599860.

Almost surely, 2^{3349015000704} 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 3349015000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823290915170).

3349015000704 is an abundant number, since it is smaller than the sum of its proper divisors (6297566829636).

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

3349015000704 is a wasteful number, since it uses less digits than its factorization.

3349015000704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848378 (or 2848363 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 3349015000704 in words is "three trillion, three hundred forty-nine billion, fifteen million, seven hundred four", and thus it is an aban number.