3836204064000 has 3456 divisors, whose sum is σ = 18384932966400. Its totient is φ = 773369856000.

The previous prime is 3836204063999. The next prime is 3836204064031. The reversal of 3836204064000 is 4604026383.

It is a happy number.

3836204064000 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 2 + 0 + 4 + 0 + 640 + 0 + 0 = 666.

3836204064000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25746335926 + ... + 25746336074.

It is an arithmetic number, because the mean of its divisors is an integer number (5319714400).

Almost surely, 2^{3836204064000} is an apocalyptic number.

3836204064000 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 3836204064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192466483200).

3836204064000 is an abundant number, since it is smaller than the sum of its proper divisors (14548728902400).

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

3836204064000 is a wasteful number, since it uses less digits than its factorization.

3836204064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3836204064000 in words is "three trillion, eight hundred thirty-six billion, two hundred four million, sixty-four thousand".