3678448751712 has 1152 divisors, whose sum is σ = 13832288870400. Its totient is φ = 956888432640.

The previous prime is 3678448751699. The next prime is 3678448751723. The reversal of 3678448751712 is 2171578448763.

It is a happy number.

3678448751712 is a `hidden beast` number, since 3 + 6 + 7 + 84 + 487 + 5 + 1 + 71 + 2 = 666.

It is a super-3 number, since 3×3678448751712³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3678448751712.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1405596228 + ... + 1405598844.

It is an arithmetic number, because the mean of its divisors is an integer number (12007195200).

Almost surely, 2^{3678448751712} is an apocalyptic number.

3678448751712 is a gapful number since it is divisible by the number (32) 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 3678448751712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916144435200).

3678448751712 is an abundant number, since it is smaller than the sum of its proper divisors (10153840118688).

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

3678448751712 is a wasteful number, since it uses less digits than its factorization.

3678448751712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2677 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 3678448751712 in words is "three trillion, six hundred seventy-eight billion, four hundred forty-eight million, seven hundred fifty-one thousand, seven hundred twelve".