3466628928 has 140 divisors (see below), whose sum is σ = 11744321952. Its totient is φ = 990455040.

The previous prime is 3466628927. The next prime is 3466628951. The reversal of 3466628928 is 8298266643.

It is a super-2 number, since 2×3466628928² = 24035032248892858368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466628927) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11478 + ... + 84053.

Almost surely, 2^3466628928 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 3466628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872160976).

3466628928 is an abundant number, since it is smaller than the sum of its proper divisors (8277693024).

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

3466628928 is an equidigital number, since it uses as much as digits as its factorization.

3466628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95562 (or 95543 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3466628928 is about 58878.0852949550. The cubic root of 3466628928 is about 1513.4536284967.

The spelling of 3466628928 in words is "three billion, four hundred sixty-six million, six hundred twenty-eight thousand, nine hundred twenty-eight".