3371672304 has 800 divisors, whose sum is σ = 13793117184. Its totient is φ = 766402560.

The previous prime is 3371672287. The next prime is 3371672329. The reversal of 3371672304 is 4032761733.

3371672304 is a `hidden beast` number, since 337 + 16 + 7 + 2 + 304 = 666.

It is a super-2 number, since 2×3371672304² = 22736348251121336832, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29837752 + ... + 29837864.

Almost surely, 2^3371672304 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 3371672304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896558592).

3371672304 is an abundant number, since it is smaller than the sum of its proper divisors (10421444880).

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

3371672304 is a wasteful number, since it uses less digits than its factorization.

3371672304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 3371672304 is about 58066.1028828352. The cubic root of 3371672304 is about 1499.5068458838.

The spelling of 3371672304 in words is "three billion, three hundred seventy-one million, six hundred seventy-two thousand, three hundred four".