3873355200 has 1260 divisors, whose sum is σ = 17740279480. Its totient is φ = 821145600.

The previous prime is 3873355177. The next prime is 3873355231. The reversal of 3873355200 is 25533783.

3873355200 is a `hidden beast` number, since 38 + 73 + 3 + 552 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 203860791 + ... + 203860809.

Almost surely, 2^3873355200 is an apocalyptic number.

3873355200 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 3873355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870139740).

3873355200 is an abundant number, since it is smaller than the sum of its proper divisors (13866924280).

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

3873355200 is a wasteful number, since it uses less digits than its factorization.

3873355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3873355200 is about 62236.2852361868. The cubic root of 3873355200 is about 1570.4680606417.

Adding to 3873355200 its reverse (25533783), we get a palindrome (3898888983).

The spelling of 3873355200 in words is "three billion, eight hundred seventy-three million, three hundred fifty-five thousand, two hundred".