3836083641600 has 864 divisors, whose sum is σ = 15116456484864. Its totient is φ = 838235750400.

The previous prime is 3836083641571. The next prime is 3836083641619. The reversal of 3836083641600 is 61463806383.

It is a happy number.

It is a super-2 number, since 2×3836083641600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3836083641600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 345805654 + ... + 345816746.

Almost surely, 2^{3836083641600} is an apocalyptic number.

3836083641600 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 3836083641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558228242432).

3836083641600 is an abundant number, since it is smaller than the sum of its proper divisors (11280372843264).

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

3836083641600 is a wasteful number, since it uses less digits than its factorization.

3836083641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11243 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 3836083641600 in words is "three trillion, eight hundred thirty-six billion, eighty-three million, six hundred forty-one thousand, six hundred".