3361692672 has 352 divisors, whose sum is σ = 11004672000. Its totient is φ = 1007271936.

The previous prime is 3361692661. The next prime is 3361692701. The reversal of 3361692672 is 2762961633.

3361692672 is a `hidden beast` number, since 3 + 3 + 616 + 9 + 26 + 7 + 2 = 666.

It is a super-2 number, since 2×3361692672² = 22601955241956999168, which contains 22 as substring.

Its product of digits (489888) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16892829 + ... + 16893027.

Almost surely, 2^3361692672 is an apocalyptic number.

3361692672 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 3361692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502336000).

3361692672 is an abundant number, since it is smaller than the sum of its proper divisors (7642979328).

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

3361692672 is a wasteful number, since it uses less digits than its factorization.

3361692672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 3361692672 is about 57980.1058294998. The cubic root of 3361692672 is about 1498.0259472167.

The spelling of 3361692672 in words is "three billion, three hundred sixty-one million, six hundred ninety-two thousand, six hundred seventy-two".