3689969612544 has 864 divisors, whose sum is σ = 12303762831360. Its totient is φ = 1055843942400.

The previous prime is 3689969612479. The next prime is 3689969612551. The reversal of 3689969612544 is 4452169699863.

3689969612544 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 9 + 69 + 6 + 12 + 544 = 666.

3689969612544 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7082475004 + ... + 7082475524.

It is an arithmetic number, because the mean of its divisors is an integer number (14240466240).

Almost surely, 2^{3689969612544} is an apocalyptic number.

3689969612544 is a gapful number since it is divisible by the number (34) 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 3689969612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6151881415680).

3689969612544 is an abundant number, since it is smaller than the sum of its proper divisors (8613793218816).

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

3689969612544 is a wasteful number, since it uses less digits than its factorization.

3689969612544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 900 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 3689969612544 in words is "three trillion, six hundred eighty-nine billion, nine hundred sixty-nine million, six hundred twelve thousand, five hundred forty-four".