3704922224640 has 1152 divisors, whose sum is σ = 16636303756800. Its totient is φ = 740524032000.

The previous prime is 3704922224623. The next prime is 3704922224651. The reversal of 3704922224640 is 464222294073.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159333015 + ... + 159356265.

It is an arithmetic number, because the mean of its divisors is an integer number (14441235900).

Almost surely, 2^{3704922224640} is an apocalyptic number.

3704922224640 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 3704922224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318151878400).

3704922224640 is an abundant number, since it is smaller than the sum of its proper divisors (12931381532160).

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

3704922224640 is a wasteful number, since it uses less digits than its factorization.

3704922224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23323 (or 23300 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3704922224640 in words is "three trillion, seven hundred four billion, nine hundred twenty-two million, two hundred twenty-four thousand, six hundred forty".