3723945997440 has 1024 divisors, whose sum is σ = 13472851968000. Its totient is φ = 870712934400.

The previous prime is 3723945997439. The next prime is 3723945997441. The reversal of 3723945997440 is 447995493273.

It is an interprime number because it is at equal distance from previous prime (3723945997439) and next prime (3723945997441).

It is not an unprimeable number, because it can be changed into a prime (3723945997441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2552395431 + ... + 2552396889.

It is an arithmetic number, because the mean of its divisors is an integer number (13157082000).

Almost surely, 2^{3723945997440} is an apocalyptic number.

3723945997440 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 3723945997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736425984000).

3723945997440 is an abundant number, since it is smaller than the sum of its proper divisors (9748905970560).

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

3723945997440 is a wasteful number, since it uses less digits than its factorization.

3723945997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 66.

The spelling of 3723945997440 in words is "three trillion, seven hundred twenty-three billion, nine hundred forty-five million, nine hundred ninety-seven thousand, four hundred forty".