3801236800 has 42 divisors (see below), whose sum is σ = 9353422238. Its totient is φ = 1520494080.

The previous prime is 3801236717. The next prime is 3801236807. The reversal of 3801236800 is 86321083.

It can be written as a sum of positive squares in 3 ways, for example, as 592240896 + 3208995904 = 24336^2 + 56648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801236807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1186287 + ... + 1189486.

Almost surely, 2^3801236800 is an apocalyptic number.

It is an amenable number.

3801236800 is an abundant number, since it is smaller than the sum of its proper divisors (5552185438).

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

3801236800 is a wasteful number, since it uses less digits than its factorization.

3801236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375795 (or 2375780 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 3801236800 is about 61654.1709862358. The cubic root of 3801236800 is about 1560.6600319016.

Adding to 3801236800 its reverse (86321083), we get a palindrome (3887557883).

The spelling of 3801236800 in words is "three billion, eight hundred one million, two hundred thirty-six thousand, eight hundred".