3780172385280 has 528 divisors, whose sum is σ = 13769721018144. Its totient is φ = 994213232640.

The previous prime is 3780172385233. The next prime is 3780172385299. The reversal of 3780172385280 is 825832710873.

3780172385280 is a `hidden beast` number, since 3 + 7 + 80 + 1 + 7 + 2 + 38 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 90802870 + ... + 90844490.

Almost surely, 2^{3780172385280} is an apocalyptic number.

3780172385280 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 3780172385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884860509072).

3780172385280 is an abundant number, since it is smaller than the sum of its proper divisors (9989548632864).

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

3780172385280 is an equidigital number, since it uses as much as digits as its factorization.

3780172385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41734 (or 41704 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 3780172385280 in words is "three trillion, seven hundred eighty billion, one hundred seventy-two million, three hundred eighty-five thousand, two hundred eighty".