3720989090280 has 512 divisors, whose sum is σ = 14545355120640. Its totient is φ = 738415349760.

The previous prime is 3720989090263. The next prime is 3720989090339. The reversal of 3720989090280 is 820909890273.

3720989090280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3720989090280.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138762154 + ... + 138788966.

It is an arithmetic number, because the mean of its divisors is an integer number (28408896720).

Almost surely, 2^{3720989090280} is an apocalyptic number.

3720989090280 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 3720989090280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272677560320).

3720989090280 is an abundant number, since it is smaller than the sum of its proper divisors (10824366030360).

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

3720989090280 is a wasteful number, since it uses less digits than its factorization.

3720989090280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27521 (or 27517 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 3720989090280 in words is "three trillion, seven hundred twenty billion, nine hundred eighty-nine million, ninety thousand, two hundred eighty".