3727214324000 has 192 divisors, whose sum is σ = 9229134751200. Its totient is φ = 1479312179200.

The previous prime is 3727214323967. The next prime is 3727214324033. The reversal of 3727214324000 is 4234127273.

It is an interprime number because it is at equal distance from previous prime (3727214323967) and next prime (3727214324033).

It can be written as a sum of positive squares in 16 ways, for example, as 379470784144 + 3347743539856 = 616012^2 + 1829684^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273069176 + ... + 273082824.

Almost surely, 2^{3727214324000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3727214324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614567375600).

3727214324000 is an abundant number, since it is smaller than the sum of its proper divisors (5501920427200).

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

3727214324000 is a wasteful number, since it uses less digits than its factorization.

3727214324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200 (or 14182 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

The spelling of 3727214324000 in words is "three trillion, seven hundred twenty-seven billion, two hundred fourteen million, three hundred twenty-four thousand".