3751820800 has 240 divisors, whose sum is σ = 11444080032. Its totient is φ = 1187020800.

The previous prime is 3751820791. The next prime is 3751820801. The reversal of 3751820800 is 80281573.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3751820801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163190 + ... + 1166410.

Almost surely, 2^3751820800 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 3751820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722040016).

3751820800 is an abundant number, since it is smaller than the sum of its proper divisors (7692259232).

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

3751820800 is a wasteful number, since it uses less digits than its factorization.

3751820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 3751820800 is about 61252.1085351353. The cubic root of 3751820800 is about 1553.8676633551.

The spelling of 3751820800 in words is "three billion, seven hundred fifty-one million, eight hundred twenty thousand, eight hundred".