3822703200 has 144 divisors (see below), whose sum is σ = 13825521360. Its totient is φ = 1019381760.

The previous prime is 3822703187. The next prime is 3822703219. The reversal of 3822703200 is 23072283.

3822703200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3822703200² = 29226119510580480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66889 + ... + 110088.

It is an arithmetic number, because the mean of its divisors is an integer number (96010565).

Almost surely, 2^3822703200 is an apocalyptic number.

3822703200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3822703200 is an abundant number, since it is smaller than the sum of its proper divisors (10002818160).

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

3822703200 is a wasteful number, since it uses less digits than its factorization.

3822703200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177006 (or 176987 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3822703200 is about 61828.0130685113. The cubic root of 3822703200 is about 1563.5923131140.

Adding to 3822703200 its reverse (23072283), we get a palindrome (3845775483).

The spelling of 3822703200 in words is "three billion, eight hundred twenty-two million, seven hundred three thousand, two hundred".