3703442079744 has 512 divisors, whose sum is σ = 12027822048000. Its totient is φ = 1116890726400.

The previous prime is 3703442079691. The next prime is 3703442079761. The reversal of 3703442079744 is 4479702443073.

3703442079744 is a `hidden beast` number, since 3 + 7 + 0 + 344 + 207 + 97 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 2345434347 + ... + 2345435925.

Almost surely, 2^{3703442079744} 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 3703442079744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013911024000).

3703442079744 is an abundant number, since it is smaller than the sum of its proper divisors (8324379968256).

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

3703442079744 is a wasteful number, since it uses less digits than its factorization.

3703442079744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 3703442079744 in words is "three trillion, seven hundred three billion, four hundred forty-two million, seventy-nine thousand, seven hundred forty-four".