3836761706880 has 640 divisors, whose sum is σ = 13931260580160. Its totient is φ = 1006077542400.

The previous prime is 3836761706873. The next prime is 3836761706923. The reversal of 3836761706880 is 886071676383.

3836761706880 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 7 + 617 + 0 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1682051340 + ... + 1682053620.

Almost surely, 2^{3836761706880} is an apocalyptic number.

3836761706880 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 3836761706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965630290080).

3836761706880 is an abundant number, since it is smaller than the sum of its proper divisors (10094498873280).

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

3836761706880 is a wasteful number, since it uses less digits than its factorization.

3836761706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 3836761706880 in words is "three trillion, eight hundred thirty-six billion, seven hundred sixty-one million, seven hundred six thousand, eight hundred eighty".