3946420800000 has 2880 divisors, whose sum is σ = 17952500966400. Its totient is φ = 830914560000.

The previous prime is 3946420799999. The next prime is 3946420800029. The reversal of 3946420800000 is 80246493.

It is a happy number.

3946420800000 is a `hidden beast` number, since 3 + 9 + 4 + 642 + 0 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 83966399977 + ... + 83966400023.

It is an arithmetic number, because the mean of its divisors is an integer number (6233507280).

Almost surely, 2^{3946420800000} is an apocalyptic number.

3946420800000 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 3946420800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976250483200).

3946420800000 is an abundant number, since it is smaller than the sum of its proper divisors (14006080166400).

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

3946420800000 is an frugal number, since it uses more digits than its factorization.

3946420800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3946420800000 in words is "three trillion, nine hundred forty-six billion, four hundred twenty million, eight hundred thousand".