3822784525200 has 120 divisors (see below), whose sum is σ = 12247191852768. Its totient is φ = 1019281111040.

The previous prime is 3822784525129. The next prime is 3822784525211. The reversal of 3822784525200 is 25254872283.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3822784525200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3822784525200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9551512 + ... + 9943688.

Almost surely, 2^{3822784525200} is an apocalyptic number.

3822784525200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3822784525200 is an abundant number, since it is smaller than the sum of its proper divisors (8424407327568).

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

3822784525200 is a wasteful number, since it uses less digits than its factorization.

3822784525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400321 (or 400310 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 3822784525200 in words is "three trillion, eight hundred twenty-two billion, seven hundred eighty-four million, five hundred twenty-five thousand, two hundred".