3402728784 has 320 divisors, whose sum is σ = 12154222080. Its totient is φ = 887500800.

The previous prime is 3402728759. The next prime is 3402728807. The reversal of 3402728784 is 4878272043.

3402728784 is a `hidden beast` number, since 340 + 27 + 287 + 8 + 4 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3970084 + ... + 3970940.

It is an arithmetic number, because the mean of its divisors is an integer number (37981944).

Almost surely, 2^3402728784 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 3402728784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077111040).

3402728784 is an abundant number, since it is smaller than the sum of its proper divisors (8751493296).

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

3402728784 is a wasteful number, since it uses less digits than its factorization.

3402728784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 3402728784 is about 58332.9133851550. The cubic root of 3402728784 is about 1504.0967688038.

The spelling of 3402728784 in words is "three billion, four hundred two million, seven hundred twenty-eight thousand, seven hundred eighty-four".