3744831928320 has 1152 divisors, whose sum is σ = 15704546457600. Its totient is φ = 806199754752.

The previous prime is 3744831928319. The next prime is 3744831928333. The reversal of 3744831928320 is 238291384473.

It is a happy number.

3744831928320 is a `hidden beast` number, since 3 + 7 + 4 + 48 + 319 + 283 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 2365654249 + ... + 2365655831.

It is an arithmetic number, because the mean of its divisors is an integer number (13632418800).

Almost surely, 2^{3744831928320} is an apocalyptic number.

3744831928320 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 3744831928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7852273228800).

3744831928320 is an abundant number, since it is smaller than the sum of its proper divisors (11959714529280).

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

3744831928320 is a wasteful number, since it uses less digits than its factorization.

3744831928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3744831928320 in words is "three trillion, seven hundred forty-four billion, eight hundred thirty-one million, nine hundred twenty-eight thousand, three hundred twenty".