3822674800 has 120 divisors (see below), whose sum is σ = 10668514592. Its totient is φ = 1289088000.

The previous prime is 3822674789. The next prime is 3822674879. The reversal of 3822674800 is 84762283.

It is a super-2 number, since 2×3822674800² = 29225685253110080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159610 + ... + 181990.

Almost surely, 2^3822674800 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 3822674800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334257296).

3822674800 is an abundant number, since it is smaller than the sum of its proper divisors (6845839792).

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

3822674800 is a wasteful number, since it uses less digits than its factorization.

3822674800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22467 (or 22456 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 3822674800 is about 61827.7833987278. The cubic root of 3822674800 is about 1563.5884409735.

The spelling of 3822674800 in words is "three billion, eight hundred twenty-two million, six hundred seventy-four thousand, eight hundred".