3476629728 has 384 divisors, whose sum is σ = 12548390400. Its totient is φ = 920678400.

The previous prime is 3476629721. The next prime is 3476629733. The reversal of 3476629728 is 8279266743.

3476629728 is a `hidden beast` number, since 3 + 4 + 7 + 6 + 629 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×3476629728² = 24173908531226707968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3476629721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2346748 + ... + 2348228.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 2^3476629728 is an apocalyptic number.

3476629728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3476629728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274195200).

3476629728 is an abundant number, since it is smaller than the sum of its proper divisors (9071760672).

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

3476629728 is a wasteful number, since it uses less digits than its factorization.

3476629728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1529 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 3476629728 is about 58962.9521648976. The cubic root of 3476629728 is about 1514.9076073446.

The spelling of 3476629728 in words is "three billion, four hundred seventy-six million, six hundred twenty-nine thousand, seven hundred twenty-eight".