3623849280 has 336 divisors, whose sum is σ = 13380232320. Its totient is φ = 932456448.

The previous prime is 3623849267. The next prime is 3623849297. The reversal of 3623849280 is 829483263.

3623849280 is a `hidden beast` number, since 362 + 3 + 8 + 4 + 9 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2254237 + ... + 2255843.

It is an arithmetic number, because the mean of its divisors is an integer number (39822120).

Almost surely, 2^3623849280 is an apocalyptic number.

3623849280 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 3623849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690116160).

3623849280 is an abundant number, since it is smaller than the sum of its proper divisors (9756383040).

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

3623849280 is a wasteful number, since it uses less digits than its factorization.

3623849280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3623849280 is about 60198.4159260026. The cubic root of 3623849280 is about 1535.9958495982.

The spelling of 3623849280 in words is "three billion, six hundred twenty-three million, eight hundred forty-nine thousand, two hundred eighty".