3743231846400 has 1296 divisors, whose sum is σ = 14158653163200. Its totient is φ = 944853811200.

The previous prime is 3743231846377. The next prime is 3743231846423. The reversal of 3743231846400 is 46481323473.

3743231846400 is a `hidden beast` number, since 3 + 7 + 4 + 3 + 231 + 8 + 4 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (3743231846377) and next prime (3743231846423).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 34983475147 + ... + 34983475253.

It is an arithmetic number, because the mean of its divisors is an integer number (10924886700).

Almost surely, 2^{3743231846400} is an apocalyptic number.

3743231846400 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 3743231846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079326581600).

3743231846400 is an abundant number, since it is smaller than the sum of its proper divisors (10415421316800).

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

3743231846400 is a wasteful number, since it uses less digits than its factorization.

3743231846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3743231846400 in words is "three trillion, seven hundred forty-three billion, two hundred thirty-one million, eight hundred forty-six thousand, four hundred".