3743364218880 has 1088 divisors, whose sum is σ = 14543722045440. Its totient is φ = 809710387200.

The previous prime is 3743364218831. The next prime is 3743364218887. The reversal of 3743364218880 is 888124633473.

It is a self number, because there is not a number n which added to its sum of digits gives 3743364218880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3743364218887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4357815891 + ... + 4357816749.

Almost surely, 2^{3743364218880} is an apocalyptic number.

3743364218880 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 3743364218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271861022720).

3743364218880 is an abundant number, since it is smaller than the sum of its proper divisors (10800357826560).

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

3743364218880 is a wasteful number, since it uses less digits than its factorization.

3743364218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 3743364218880 in words is "three trillion, seven hundred forty-three billion, three hundred sixty-four million, two hundred eighteen thousand, eight hundred eighty".