3453180232320 has 3072 divisors, whose sum is σ = 16670602690560. Its totient is φ = 662171811840.

The previous prime is 3453180232199. The next prime is 3453180232349. The reversal of 3453180232320 is 232320813543.

3453180232320 is a `hidden beast` number, since 3 + 4 + 531 + 80 + 2 + 3 + 23 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7458272409 + ... + 7458272871.

It is an arithmetic number, because the mean of its divisors is an integer number (5426628480).

Almost surely, 2^{3453180232320} is an apocalyptic number.

3453180232320 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 3453180232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335301345280).

3453180232320 is an abundant number, since it is smaller than the sum of its proper divisors (13217422458240).

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

3453180232320 is a wasteful number, since it uses less digits than its factorization.

3453180232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3453180232320 in words is "three trillion, four hundred fifty-three billion, one hundred eighty million, two hundred thirty-two thousand, three hundred twenty".