3367082628 has 288 divisors, whose sum is σ = 11583129600. Its totient is φ = 835494912.

The previous prime is 3367082603. The next prime is 3367082681. The reversal of 3367082628 is 8262807633.

It is a super-2 number, since 2×3367082628² = 22674490847558772768, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1168093 + ... + 1170971.

It is an arithmetic number, because the mean of its divisors is an integer number (40219200).

Almost surely, 2^3367082628 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 3367082628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791564800).

3367082628 is an abundant number, since it is smaller than the sum of its proper divisors (8216046972).

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

3367082628 is a wasteful number, since it uses less digits than its factorization.

3367082628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3367082628 is about 58026.5682941874. The cubic root of 3367082628 is about 1498.8261376044.

The spelling of 3367082628 in words is "three billion, three hundred sixty-seven million, eighty-two thousand, six hundred twenty-eight".