3358621728 has 576 divisors, whose sum is σ = 12906915840. Its totient is φ = 801792000.

The previous prime is 3358621703. The next prime is 3358621751. The reversal of 3358621728 is 8271268533.

3358621728 is a `hidden beast` number, since 33 + 586 + 2 + 17 + 28 = 666.

It is a super-2 number, since 2×3358621728² = 22560679823587411968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22242453 + ... + 22242603.

It is an arithmetic number, because the mean of its divisors is an integer number (22407840).

Almost surely, 2^3358621728 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 3358621728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453457920).

3358621728 is an abundant number, since it is smaller than the sum of its proper divisors (9548294112).

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

3358621728 is a wasteful number, since it uses less digits than its factorization.

3358621728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3358621728 is about 57953.6170398363. The cubic root of 3358621728 is about 1497.5696537380.

The spelling of 3358621728 in words is "three billion, three hundred fifty-eight million, six hundred twenty-one thousand, seven hundred twenty-eight".