3822517440 has 336 divisors, whose sum is σ = 15688360800. Its totient is φ = 873621504.

The previous prime is 3822517427. The next prime is 3822517519. The reversal of 3822517440 is 447152283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3822517440² = 29223279158208307200, 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 = 3822517395 and 3822517404.

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, 418846 + ... + 427874.

It is an arithmetic number, because the mean of its divisors is an integer number (46691550).

Almost surely, 2^3822517440 is an apocalyptic number.

3822517440 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 3822517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7844180400).

3822517440 is an abundant number, since it is smaller than the sum of its proper divisors (11865843360).

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

3822517440 is a wasteful number, since it uses less digits than its factorization.

3822517440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9046 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3822517440 is about 61826.5108185801. The cubic root of 3822517440 is about 1563.5669856954.

The spelling of 3822517440 in words is "three billion, eight hundred twenty-two million, five hundred seventeen thousand, four hundred forty".