3407572728 has 288 divisors, whose sum is σ = 11330841600. Its totient is φ = 904400640.

The previous prime is 3407572723. The next prime is 3407572783. The reversal of 3407572728 is 8272757043.

3407572728 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 572 + 72 + 8 = 666.

It is a super-2 number, since 2×3407572728² = 23223103793218723968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407572723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43133793 + ... + 43133871.

It is an arithmetic number, because the mean of its divisors is an integer number (39343200).

Almost surely, 2^3407572728 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 3407572728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665420800).

3407572728 is an abundant number, since it is smaller than the sum of its proper divisors (7923268872).

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

3407572728 is a wasteful number, since it uses less digits than its factorization.

3407572728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 3407572728 is about 58374.4184382166. The cubic root of 3407572728 is about 1504.8101478304.

The spelling of 3407572728 in words is "three billion, four hundred seven million, five hundred seventy-two thousand, seven hundred twenty-eight".