3978893253816 has 288 divisors, whose sum is σ = 12117555450000. Its totient is φ = 1222605176832.

The previous prime is 3978893253689. The next prime is 3978893253817. The reversal of 3978893253816 is 6183523988793.

It is a happy number.

3978893253816 is a `hidden beast` number, since 3 + 9 + 7 + 8 + 89 + 3 + 2 + 538 + 1 + 6 = 666.

3978893253816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978893253817) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 252636310 + ... + 252652058.

Almost surely, 2^{3978893253816} is an apocalyptic number.

3978893253816 is a gapful number since it is divisible by the number (36) 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 3978893253816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058777725000).

3978893253816 is an abundant number, since it is smaller than the sum of its proper divisors (8138662196184).

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

3978893253816 is a wasteful number, since it uses less digits than its factorization.

3978893253816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16565 (or 16536 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 3978893253816 in words is "three trillion, nine hundred seventy-eight billion, eight hundred ninety-three million, two hundred fifty-three thousand, eight hundred sixteen".