3457780220160 has 2592 divisors, whose sum is σ = 15836695499520. Its totient is φ = 699564294144.

The previous prime is 3457780220149. The next prime is 3457780220207. The reversal of 3457780220160 is 610220877543.

3457780220160 is a `hidden beast` number, since 345 + 7 + 7 + 80 + 220 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25239271612 + ... + 25239271748.

Almost surely, 2^{3457780220160} is an apocalyptic number.

3457780220160 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 3457780220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918347749760).

3457780220160 is an abundant number, since it is smaller than the sum of its proper divisors (12378915279360).

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

3457780220160 is a wasteful number, since it uses less digits than its factorization.

3457780220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 3457780220160 in words is "three trillion, four hundred fifty-seven billion, seven hundred eighty million, two hundred twenty thousand, one hundred sixty".