3836101401600 has 528 divisors, whose sum is σ = 13857814793088. Its totient is φ = 930161295360.

The previous prime is 3836101401581. The next prime is 3836101401647. The reversal of 3836101401600 is 61041016383.

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 47 ways as a sum of consecutive naturals, for example, 66864127 + ... + 66921473.

Almost surely, 2^{3836101401600} is an apocalyptic number.

3836101401600 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 3836101401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928907396544).

3836101401600 is an abundant number, since it is smaller than the sum of its proper divisors (10021713391488).

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

3836101401600 is a wasteful number, since it uses less digits than its factorization.

3836101401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57460 (or 57437 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 3836101401600 its reverse (61041016383), we get a palindrome (3897142417983).

The spelling of 3836101401600 in words is "three trillion, eight hundred thirty-six billion, one hundred one million, four hundred one thousand, six hundred".