3366174672 has 400 divisors, whose sum is σ = 11955187200. Its totient is φ = 892995840.

The previous prime is 3366174667. The next prime is 3366174701. The reversal of 3366174672 is 2764716633.

It is a super-2 number, since 2×3366174672² = 22662263844828615168, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10169547 + ... + 10169877.

It is an arithmetic number, because the mean of its divisors is an integer number (29887968).

Almost surely, 2^3366174672 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 3366174672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977593600).

3366174672 is an abundant number, since it is smaller than the sum of its proper divisors (8589012528).

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

3366174672 is a wasteful number, since it uses less digits than its factorization.

3366174672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 421 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 3366174672 is about 58018.7441435955. The cubic root of 3366174672 is about 1498.6914027141.

The spelling of 3366174672 in words is "three billion, three hundred sixty-six million, one hundred seventy-four thousand, six hundred seventy-two".