3636905123040 has 384 divisors, whose sum is σ = 13177577871360. Its totient is φ = 825929146368.

The previous prime is 3636905123029. The next prime is 3636905123053. The reversal of 3636905123040 is 403215096363.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3636905122983 and 3636905123001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387023622 + ... + 387033018.

It is an arithmetic number, because the mean of its divisors is an integer number (34316609040).

Almost surely, 2^{3636905123040} is an apocalyptic number.

3636905123040 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 3636905123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588788935680).

3636905123040 is an abundant number, since it is smaller than the sum of its proper divisors (9540672748320).

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

3636905123040 is a wasteful number, since it uses less digits than its factorization.

3636905123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10154 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 3636905123040 in words is "three trillion, six hundred thirty-six billion, nine hundred five million, one hundred twenty-three thousand, forty".