3345576372 has 192 divisors, whose sum is σ = 9169305600. Its totient is φ = 1067186016.

The previous prime is 3345576359. The next prime is 3345576391. The reversal of 3345576372 is 2736755433.

3345576372 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 5 + 7 + 637 + 2 = 666.

It is a super-2 number, since 2×3345576372² = 22385762521769364768, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 32481273 + ... + 32481375.

It is an arithmetic number, because the mean of its divisors is an integer number (47756800).

Almost surely, 2^3345576372 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 3345576372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584652800).

3345576372 is an abundant number, since it is smaller than the sum of its proper divisors (5823729228).

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

3345576372 is a wasteful number, since it uses less digits than its factorization.

3345576372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 45.

The square root of 3345576372 is about 57840.9575646877. The cubic root of 3345576372 is about 1495.6282147075.

The spelling of 3345576372 in words is "three billion, three hundred forty-five million, five hundred seventy-six thousand, three hundred seventy-two".