3486628000 has 48 divisors (see below), whose sum is σ = 8566654824. Its totient is φ = 1394649600.

The previous prime is 3486627961. The next prime is 3486628081. The reversal of 3486628000 is 8266843.

3486628000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 925863184 + 2560764816 = 30428^2 + 50604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431829 + ... + 439828.

Almost surely, 2^3486628000 is an apocalyptic number.

It is an amenable number.

3486628000 is an abundant number, since it is smaller than the sum of its proper divisors (5080026824).

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

3486628000 is an equidigital number, since it uses as much as digits as its factorization.

3486628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871682 (or 871664 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 3486628000 is about 59047.6756528146. The cubic root of 3486628000 is about 1516.3584340546.

The spelling of 3486628000 in words is "three billion, four hundred eighty-six million, six hundred twenty-eight thousand".