3822739200 has 648 divisors, whose sum is σ = 16474640000. Its totient is φ = 826122240.

The previous prime is 3822739199. The next prime is 3822739211. The reversal of 3822739200 is 29372283.

3822739200 is a `hidden beast` number, since 382 + 2 + 73 + 9 + 200 = 666.

3822739200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3822739200² = 29226669982433280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7660551 + ... + 7661049.

Almost surely, 2^3822739200 is an apocalyptic number.

3822739200 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 3822739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8237320000).

3822739200 is an abundant number, since it is smaller than the sum of its proper divisors (12651900800).

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

3822739200 is a wasteful number, since it uses less digits than its factorization.

3822739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3822739200 is about 61828.3041979966. The cubic root of 3822739200 is about 1563.5972214336.

The spelling of 3822739200 in words is "three billion, eight hundred twenty-two million, seven hundred thirty-nine thousand, two hundred".