3722444144640 has 864 divisors, whose sum is σ = 14232854956320. Its totient is φ = 894192058368.

The previous prime is 3722444144633. The next prime is 3722444144669. The reversal of 3722444144640 is 464414442273.

3722444144640 is a `hidden beast` number, since 3 + 7 + 2 + 2 + 444 + 144 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3297115596 + ... + 3297116724.

It is an arithmetic number, because the mean of its divisors is an integer number (16473211755).

Almost surely, 2^{3722444144640} is an apocalyptic number.

3722444144640 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 3722444144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116427478160).

3722444144640 is an abundant number, since it is smaller than the sum of its proper divisors (10510410811680).

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

3722444144640 is a wasteful number, since it uses less digits than its factorization.

3722444144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 45.

The spelling of 3722444144640 in words is "three trillion, seven hundred twenty-two billion, four hundred forty-four million, one hundred forty-four thousand, six hundred forty".