3472380180072 has 160 divisors (see below), whose sum is σ = 9845807035680. Its totient is φ = 1143195534720.

The previous prime is 3472380180053. The next prime is 3472380180097. The reversal of 3472380180072 is 2700810832743.

3472380180072 is a `hidden beast` number, since 3 + 472 + 38 + 0 + 1 + 80 + 0 + 72 = 666.

It is a super-2 number, since 2×3472380180072² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265202358 + ... + 265215450.

It is an arithmetic number, because the mean of its divisors is an integer number (61536293973).

Almost surely, 2^{3472380180072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3472380180072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922903517840).

3472380180072 is an abundant number, since it is smaller than the sum of its proper divisors (6373426855608).

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

3472380180072 is a wasteful number, since it uses less digits than its factorization.

3472380180072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18125 (or 18112 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 3472380180072 in words is "three trillion, four hundred seventy-two billion, three hundred eighty million, one hundred eighty thousand, seventy-two".