3485480872896 has 84 divisors (see below), whose sum is σ = 10898729037144. Its totient is φ = 1056206323200.

The previous prime is 3485480872847. The next prime is 3485480872933. The reversal of 3485480872896 is 6982780845843.

3485480872896 is a `hidden beast` number, since 3 + 4 + 8 + 548 + 0 + 8 + 72 + 8 + 9 + 6 = 666.

3485480872896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275047395 + ... + 275060066.

Almost surely, 2^{3485480872896} is an apocalyptic number.

3485480872896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3485480872896 is an abundant number, since it is smaller than the sum of its proper divisors (7413248164248).

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

3485480872896 is a wasteful number, since it uses less digits than its factorization.

3485480872896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550107490 (or 550107477 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 3485480872896 in words is "three trillion, four hundred eighty-five billion, four hundred eighty million, eight hundred seventy-two thousand, eight hundred ninety-six".