3712089546480 has 480 divisors, whose sum is σ = 13909780574208. Its totient is φ = 815657472000.

The previous prime is 3712089546467. The next prime is 3712089546493. The reversal of 3712089546480 is 846459802173.

It is a happy number.

3712089546480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3712089546467) and next prime (3712089546493).

It is a self number, because there is not a number n which added to its sum of digits gives 3712089546480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55014844 + ... + 55082276.

It is a 1-persistent number, because it is pandigital, but 2⋅3712089546480 = 7424179092960 is not.

Almost surely, 2^{3712089546480} is an apocalyptic number.

3712089546480 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 3712089546480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954890287104).

3712089546480 is an abundant number, since it is smaller than the sum of its proper divisors (10197691027728).

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

3712089546480 is a wasteful number, since it uses less digits than its factorization.

3712089546480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67645 (or 67632 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 3712089546480 in words is "three trillion, seven hundred twelve billion, eighty-nine million, five hundred forty-six thousand, four hundred eighty".