3456649728 has 400 divisors, whose sum is σ = 12081220800. Its totient is φ = 987614208.

The previous prime is 3456649681. The next prime is 3456649741. The reversal of 3456649728 is 8279466543.

The cubic root of 3456649728 is 1512.

It is a perfect power (a cube), and thus also a powerful number.

3456649728 is a `hidden beast` number, since 3 + 4 + 566 + 4 + 9 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8709120) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 493807101 + ... + 493807107.

It is an arithmetic number, because the mean of its divisors is an integer number (30203052).

Almost surely, 2^3456649728 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 3456649728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6040610400).

3456649728 is an abundant number, since it is smaller than the sum of its proper divisors (8624571072).

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

3456649728 is an frugal number, since it uses more digits than its factorization.

3456649728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 12 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3456649728 is about 58793.2796159561.

The spelling of 3456649728 in words is "three billion, four hundred fifty-six million, six hundred forty-nine thousand, seven hundred twenty-eight".