3349904688 has 240 divisors, whose sum is σ = 10555324416. Its totient is φ = 1022388480.

The previous prime is 3349904669. The next prime is 3349904699. The reversal of 3349904688 is 8864099433.

It is a happy number.

3349904688 is a `hidden beast` number, since 33 + 499 + 0 + 46 + 88 = 666.

It is a super-2 number, since 2×3349904688² = 22443722837368754688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9653731 + ... + 9654077.

Almost surely, 2^3349904688 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 3349904688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277662208).

3349904688 is an abundant number, since it is smaller than the sum of its proper divisors (7205419728).

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

3349904688 is a wasteful number, since it uses less digits than its factorization.

3349904688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3349904688 is about 57878.3611378208. The cubic root of 3349904688 is about 1496.2729229345.

The spelling of 3349904688 in words is "three billion, three hundred forty-nine million, nine hundred four thousand, six hundred eighty-eight".