3349681632 has 432 divisors, whose sum is σ = 11582612496. Its totient is φ = 906854400.

The previous prime is 3349681609. The next prime is 3349681651. The reversal of 3349681632 is 2361869433.

3349681632 is a `hidden beast` number, since 3 + 3 + 4 + 9 + 6 + 8 + 1 + 632 = 666.

It is a super-2 number, since 2×3349681632² = 22440734071516366848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81699532 + ... + 81699572.

It is an arithmetic number, because the mean of its divisors is an integer number (26811603).

Almost surely, 2^3349681632 is an apocalyptic number.

3349681632 is a gapful number since it is divisible by the number (32) 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 3349681632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791306248).

3349681632 is an abundant number, since it is smaller than the sum of its proper divisors (8232930864).

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

3349681632 is a wasteful number, since it uses less digits than its factorization.

3349681632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 111 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 3349681632 is about 57876.4341679755. The cubic root of 3349681632 is about 1496.2397120332.

The spelling of 3349681632 in words is "three billion, three hundred forty-nine million, six hundred eighty-one thousand, six hundred thirty-two".