3744946460864 has 224 divisors, whose sum is σ = 9194735886336. Its totient is φ = 1478106685440.

The previous prime is 3744946460839. The next prime is 3744946460891. The reversal of 3744946460864 is 4680646494473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 3744946460864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62896772 + ... + 62956284.

It is an arithmetic number, because the mean of its divisors is an integer number (41047928064).

Almost surely, 2^{3744946460864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3744946460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597367943168).

3744946460864 is an abundant number, since it is smaller than the sum of its proper divisors (5449789425472).

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

3744946460864 is a wasteful number, since it uses less digits than its factorization.

3744946460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59783 (or 59773 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 65.

The spelling of 3744946460864 in words is "three trillion, seven hundred forty-four billion, nine hundred forty-six million, four hundred sixty thousand, eight hundred sixty-four".