3744749923200 has 768 divisors, whose sum is σ = 16100731987200. Its totient is φ = 837983232000.

The previous prime is 3744749923181. The next prime is 3744749923253. The reversal of 3744749923200 is 23299474473.

3744749923200 is a `hidden beast` number, since 3 + 74 + 47 + 499 + 23 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12203655 + ... + 12506745.

It is an arithmetic number, because the mean of its divisors is an integer number (20964494775).

Almost surely, 2^{3744749923200} is an apocalyptic number.

3744749923200 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 3744749923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8050365993600).

3744749923200 is an abundant number, since it is smaller than the sum of its proper divisors (12355982064000).

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

3744749923200 is a wasteful number, since it uses less digits than its factorization.

3744749923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303148 (or 303125 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 3744749923200 in words is "three trillion, seven hundred forty-four billion, seven hundred forty-nine million, nine hundred twenty-three thousand, two hundred".