3822876800 has 72 divisors (see below), whose sum is σ = 9452348415. Its totient is φ = 1527751680.

The previous prime is 3822876791. The next prime is 3822876823. The reversal of 3822876800 is 86782283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 3564567616 + 258309184 = 59704^2 + 16072^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=43720.

It is a super-2 number, since 2×3822876800² = 29228774055956480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3497054 + ... + 3498146.

Almost surely, 2^3822876800 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 3822876800

3822876800 is an abundant number, since it is smaller than the sum of its proper divisors (5629471615).

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

3822876800 is an frugal number, since it uses more digits than its factorization.

3822876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 3822876800 is about 61829.4169469517. The cubic root of 3822876800 is about 1563.6159818377.

The spelling of 3822876800 in words is "three billion, eight hundred twenty-two million, eight hundred seventy-six thousand, eight hundred".