3803736800 has 72 divisors (see below), whose sum is σ = 9294608232. Its totient is φ = 1520064000.

The previous prime is 3803736799. The next prime is 3803736823. The reversal of 3803736800 is 86373083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1391435 + ... + 1394165.

It is an arithmetic number, because the mean of its divisors is an integer number (129091781).

Almost surely, 2^3803736800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3803736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647304116).

3803736800 is an abundant number, since it is smaller than the sum of its proper divisors (5490871432).

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

3803736800 is a wasteful number, since it uses less digits than its factorization.

3803736800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 3803736800 is about 61674.4420323362. The cubic root of 3803736800 is about 1561.0020955729.

The spelling of 3803736800 in words is "three billion, eight hundred three million, seven hundred thirty-six thousand, eight hundred".