3476328480 has 72 divisors (see below), whose sum is σ = 11862975852. Its totient is φ = 927020544.

The previous prime is 3476328467. The next prime is 3476328481. The reversal of 3476328480 is 848236743.

3476328480 is a `hidden beast` number, since 3 + 4 + 7 + 632 + 8 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3461674896 + 14653584 = 58836^2 + 3828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3476328480² = 24169719401718220800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3476328481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1205619 + ... + 1208498.

Almost surely, 2^3476328480 is an apocalyptic number.

3476328480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3476328480 is an abundant number, since it is smaller than the sum of its proper divisors (8386647372).

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

3476328480 is a wasteful number, since it uses less digits than its factorization.

3476328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414138 (or 2414127 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3476328480 is about 58960.3975563259. The cubic root of 3476328480 is about 1514.8638507849.

The spelling of 3476328480 in words is "three billion, four hundred seventy-six million, three hundred twenty-eight thousand, four hundred eighty".