3723165010080 has 432 divisors, whose sum is σ = 13007801537640. Its totient is φ = 969630892032.

The previous prime is 3723165010079. The next prime is 3723165010141. The reversal of 3723165010080 is 800105613273.

3723165010080 is a `hidden beast` number, since 3 + 72 + 3 + 1 + 6 + 501 + 0 + 0 + 80 = 666.

3723165010080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3139572909456 + 583592100624 = 1771884^2 + 763932^2 .

It is a super-3 number, since 3×3723165010080³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 882892132 + ... + 882896348.

Almost surely, 2^{3723165010080} is an apocalyptic number.

3723165010080 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 3723165010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503900768820).

3723165010080 is an abundant number, since it is smaller than the sum of its proper divisors (9284636527560).

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

3723165010080 is a wasteful number, since it uses less digits than its factorization.

3723165010080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 3723165010080 in words is "three trillion, seven hundred twenty-three billion, one hundred sixty-five million, ten thousand, eighty".