3763344506880 has 1008 divisors, whose sum is σ = 14803537250880. Its totient is φ = 811748818944.

The previous prime is 3763344506797. The next prime is 3763344506897. The reversal of 3763344506880 is 886054433673.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 3763344506880.

It is a congruent number.

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, 14643363712 + ... + 14643363968.

It is an arithmetic number, because the mean of its divisors is an integer number (14686048860).

Almost surely, 2^{3763344506880} is an apocalyptic number.

3763344506880 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 3763344506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401768625440).

3763344506880 is an abundant number, since it is smaller than the sum of its proper divisors (11040192744000).

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

3763344506880 is an frugal number, since it uses more digits than its factorization.

3763344506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 3763344506880 in words is "three trillion, seven hundred sixty-three billion, three hundred forty-four million, five hundred six thousand, eight hundred eighty".