3720134083680 has 2304 divisors, whose sum is σ = 17076378009600. Its totient is φ = 744943288320.

The previous prime is 3720134083667. The next prime is 3720134083697. The reversal of 3720134083680 is 863804310273.

3720134083680 is a `hidden beast` number, since 3 + 7 + 201 + 3 + 408 + 36 + 8 + 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3686951016 + ... + 3686952024.

It is an arithmetic number, because the mean of its divisors is an integer number (7411622400).

Almost surely, 2^{3720134083680} is an apocalyptic number.

3720134083680 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 3720134083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8538189004800).

3720134083680 is an abundant number, since it is smaller than the sum of its proper divisors (13356243925920).

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

3720134083680 is a wasteful number, since it uses less digits than its factorization.

3720134083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3720134083680 in words is "three trillion, seven hundred twenty billion, one hundred thirty-four million, eighty-three thousand, six hundred eighty".