3946143744000 has 1360 divisors, whose sum is σ = 15537324110880. Its totient is φ = 993735475200.

The previous prime is 3946143743999. The next prime is 3946143744079. The reversal of 3946143744000 is 4473416493.

3946143744000 is a `hidden beast` number, since 39 + 4 + 6 + 143 + 74 + 400 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 12607487844 + ... + 12607488156.

Almost surely, 2^{3946143744000} is an apocalyptic number.

3946143744000 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 3946143744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7768662055440).

3946143744000 is an abundant number, since it is smaller than the sum of its proper divisors (11591180366880).

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

3946143744000 is an frugal number, since it uses more digits than its factorization.

3946143744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3946143744000 in words is "three trillion, nine hundred forty-six billion, one hundred forty-three million, seven hundred forty-four thousand".