3386463986400 has 288 divisors, whose sum is σ = 12144094978176. Its totient is φ = 812832000000.

The previous prime is 3386463986377. The next prime is 3386463986413. The reversal of 3386463986400 is 46893646833.

It is a happy number.

3386463986400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3386463986400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2031375 + ... + 3301425.

It is an arithmetic number, because the mean of its divisors is an integer number (42166996452).

Almost surely, 2^{3386463986400} is an apocalyptic number.

3386463986400 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 3386463986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072047489088).

3386463986400 is an abundant number, since it is smaller than the sum of its proper divisors (8757630991776).

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

3386463986400 is a wasteful number, since it uses less digits than its factorization.

3386463986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270186 (or 1270173 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 60.

The spelling of 3386463986400 in words is "three trillion, three hundred eighty-six billion, four hundred sixty-three million, nine hundred eighty-six thousand, four hundred".