3479581800 has 120 divisors (see below), whose sum is σ = 12085159350. Its totient is φ = 927884160.

The previous prime is 3479581793. The next prime is 3479581823. The reversal of 3479581800 is 81859743.

3479581800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1924225956 + 1555355844 = 43866^2 + 39438^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 91195 + ... + 123594.

Almost surely, 2^3479581800 is an apocalyptic number.

3479581800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3479581800 is an abundant number, since it is smaller than the sum of its proper divisors (8605577550).

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

3479581800 is a wasteful number, since it uses less digits than its factorization.

3479581800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214817 (or 214799 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3479581800 is about 58987.9801315488. The cubic root of 3479581800 is about 1515.3362649327.

The spelling of 3479581800 in words is "three billion, four hundred seventy-nine million, five hundred eighty-one thousand, eight hundred".