3672424320 has 256 divisors, whose sum is σ = 12611116800. Its totient is φ = 905609216.

The previous prime is 3672424319. The next prime is 3672424321. The reversal of 3672424320 is 234242763.

It is an interprime number because it is at equal distance from previous prime (3672424319) and next prime (3672424321).

It is a super-2 number, since 2×3672424320² = 26973400772254924800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672424321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1924807 + ... + 1926713.

It is an arithmetic number, because the mean of its divisors is an integer number (49262175).

Almost surely, 2^3672424320 is an apocalyptic number.

3672424320 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 3672424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305558400).

3672424320 is an abundant number, since it is smaller than the sum of its proper divisors (8938692480).

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

3672424320 is a wasteful number, since it uses less digits than its factorization.

3672424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 3672424320 is about 60600.5306907456. The cubic root of 3672424320 is about 1542.8283772807.

The spelling of 3672424320 in words is "three billion, six hundred seventy-two million, four hundred twenty-four thousand, three hundred twenty".