3946037356800 has 2592 divisors, whose sum is σ = 18584026546176. Its totient is φ = 774512640000.

The previous prime is 3946037356727. The next prime is 3946037356843. The reversal of 3946037356800 is 86537306493.

3946037356800 is a `hidden beast` number, since 3 + 9 + 4 + 6 + 0 + 3 + 73 + 568 + 0 + 0 = 666.

It is a super-3 number, since 3×3946037356800³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10302969409 + ... + 10302969791.

It is an arithmetic number, because the mean of its divisors is an integer number (7169763328).

Almost surely, 2^{3946037356800} is an apocalyptic number.

3946037356800 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 3946037356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9292013273088).

3946037356800 is an abundant number, since it is smaller than the sum of its proper divisors (14637989189376).

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

3946037356800 is a wasteful number, since it uses less digits than its factorization.

3946037356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3946037356800 in words is "three trillion, nine hundred forty-six billion, thirty-seven million, three hundred fifty-six thousand, eight hundred".