3701042876160 has 864 divisors, whose sum is σ = 16069459940352. Its totient is φ = 796182773760.

The previous prime is 3701042876159. The next prime is 3701042876207. The reversal of 3701042876160 is 616782401073.

3701042876160 is a `hidden beast` number, since 3 + 7 + 0 + 1 + 0 + 4 + 28 + 7 + 616 + 0 = 666.

3701042876160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 36963765 + ... + 37063755.

It is an arithmetic number, because the mean of its divisors is an integer number (18598911968).

Almost surely, 2^{3701042876160} is an apocalyptic number.

3701042876160 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 3701042876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8034729970176).

3701042876160 is an abundant number, since it is smaller than the sum of its proper divisors (12368417064192).

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

3701042876160 is an equidigital number, since it uses as much as digits as its factorization.

3701042876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100051 (or 100025 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 3701042876160 in words is "three trillion, seven hundred one billion, forty-two million, eight hundred seventy-six thousand, one hundred sixty".