3829950535680 has 768 divisors, whose sum is σ = 14116939200000. Its totient is φ = 984148475904.

The previous prime is 3829950535667. The next prime is 3829950535699. The reversal of 3829950535680 is 865350599283.

3829950535680 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 95 + 0 + 535 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3829950535680² (a number of 26 digits) contains 22 as substring.

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, 1094582571 + ... + 1094586069.

It is an arithmetic number, because the mean of its divisors is an integer number (18381431250).

Almost surely, 2^{3829950535680} is an apocalyptic number.

3829950535680 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 3829950535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058469600000).

3829950535680 is an abundant number, since it is smaller than the sum of its proper divisors (10286988664320).

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

3829950535680 is a wasteful number, since it uses less digits than its factorization.

3829950535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3679 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 3829950535680 in words is "three trillion, eight hundred twenty-nine billion, nine hundred fifty million, five hundred thirty-five thousand, six hundred eighty".