3822870240 has 432 divisors, whose sum is σ = 16073143632. Its totient is φ = 822140928.

The previous prime is 3822870221. The next prime is 3822870241. The reversal of 3822870240 is 420782283.

It is a super-2 number, since 2×3822870240² = 29228673743755315200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3822870195 and 3822870204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3822870241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1197927 + ... + 1201113.

It is an arithmetic number, because the mean of its divisors is an integer number (37206351).

Almost surely, 2^3822870240 is an apocalyptic number.

3822870240 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 3822870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8036571816).

3822870240 is an abundant number, since it is smaller than the sum of its proper divisors (12250273392).

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

3822870240 is a wasteful number, since it uses less digits than its factorization.

3822870240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3822870240 is about 61829.3638977468. The cubic root of 3822870240 is about 1563.6150874565.

The spelling of 3822870240 in words is "three billion, eight hundred twenty-two million, eight hundred seventy thousand, two hundred forty".