3472597278720 has 672 divisors, whose sum is σ = 12823373583072. Its totient is φ = 866245410816.

The previous prime is 3472597278719. The next prime is 3472597278739. The reversal of 3472597278720 is 278727952743.

3472597278720 is a `hidden beast` number, since 3 + 47 + 259 + 7 + 278 + 72 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084168639 + ... + 1084171841.

Almost surely, 2^{3472597278720} is an apocalyptic number.

3472597278720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3472597278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6411686791536).

3472597278720 is an abundant number, since it is smaller than the sum of its proper divisors (9350776304352).

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

3472597278720 is a wasteful number, since it uses less digits than its factorization.

3472597278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 3472597278720 in words is "three trillion, four hundred seventy-two billion, five hundred ninety-seven million, two hundred seventy-eight thousand, seven hundred twenty".