3744736100160 has 448 divisors, whose sum is σ = 13425334917120. Its totient is φ = 876009594880.

The previous prime is 3744736100141. The next prime is 3744736100221. The reversal of 3744736100160 is 610016374473.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1061732317 + ... + 1061735843.

It is an arithmetic number, because the mean of its divisors is an integer number (29967265440).

Almost surely, 2^{3744736100160} is an apocalyptic number.

3744736100160 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 3744736100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712667458560).

3744736100160 is an abundant number, since it is smaller than the sum of its proper divisors (9680598816960).

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

3744736100160 is a wasteful number, since it uses less digits than its factorization.

3744736100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7054 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 3744736100160 in words is "three trillion, seven hundred forty-four billion, seven hundred thirty-six million, one hundred thousand, one hundred sixty".