3744160358400 has 4032 divisors, whose sum is σ = 18497563508736. Its totient is φ = 700710912000.

The previous prime is 3744160358381. The next prime is 3744160358501. The reversal of 3744160358400 is 48530614473.

3744160358400 is a `hidden beast` number, since 3 + 7 + 4 + 4 + 1 + 60 + 3 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 287 ways as a sum of consecutive naturals, for example, 101193523182 + ... + 101193523218.

Almost surely, 2^{3744160358400} is an apocalyptic number.

3744160358400 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 3744160358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248781754368).

3744160358400 is an abundant number, since it is smaller than the sum of its proper divisors (14753403150336).

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

3744160358400 is a wasteful number, since it uses less digits than its factorization.

3744160358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3744160358400 in words is "three trillion, seven hundred forty-four billion, one hundred sixty million, three hundred fifty-eight thousand, four hundred".