3456586628 has 48 divisors (see below), whose sum is σ = 7024449600. Its totient is φ = 1471726080.

The previous prime is 3456586577. The next prime is 3456586633. The reversal of 3456586628 is 8266856543.

It is a super-2 number, since 2×3456586628² = 23895982233736820768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3456586628.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51176 + ... + 97632.

It is an arithmetic number, because the mean of its divisors is an integer number (146342700).

Almost surely, 2^3456586628 is an apocalyptic number.

3456586628 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3456586628 is an abundant number, since it is smaller than the sum of its proper divisors (3567862972).

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

3456586628 is a wasteful number, since it uses less digits than its factorization.

3456586628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46580 (or 46578 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 53.

The square root of 3456586628 is about 58792.7429875491. The cubic root of 3456586628 is about 1511.9907995903.

The spelling of 3456586628 in words is "three billion, four hundred fifty-six million, five hundred eighty-six thousand, six hundred twenty-eight".