3822876600 has 192 divisors, whose sum is σ = 12496343040. Its totient is φ = 965337600.

The previous prime is 3822876571. The next prime is 3822876611. The reversal of 3822876600 is 66782283.

It is a super-2 number, since 2×3822876600² = 29228770997655120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872014 + ... + 876386.

It is an arithmetic number, because the mean of its divisors is an integer number (65085120).

Almost surely, 2^3822876600 is an apocalyptic number.

3822876600 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 3822876600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248171520).

3822876600 is an abundant number, since it is smaller than the sum of its proper divisors (8673466440).

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

3822876600 is a wasteful number, since it uses less digits than its factorization.

3822876600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 3822876600 is about 61829.4153295986. The cubic root of 3822876600 is about 1563.6159545700.

The spelling of 3822876600 in words is "three billion, eight hundred twenty-two million, eight hundred seventy-six thousand, six hundred".