3628638720 has 480 divisors, whose sum is σ = 14554425600. Its totient is φ = 818380800.

The previous prime is 3628638707. The next prime is 3628638743. The reversal of 3628638720 is 278368263.

3628638720 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 638 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×3628638720³ (a number of 30 digits) contains 333 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24030645 + ... + 24030795.

It is an arithmetic number, because the mean of its divisors is an integer number (30321720).

Almost surely, 2^3628638720 is an apocalyptic number.

3628638720 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 3628638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277212800).

3628638720 is an abundant number, since it is smaller than the sum of its proper divisors (10925786880).

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

3628638720 is a wasteful number, since it uses less digits than its factorization.

3628638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3628638720 is about 60238.1832395367. The cubic root of 3628638720 is about 1536.6722317959.

The spelling of 3628638720 in words is "three billion, six hundred twenty-eight million, six hundred thirty-eight thousand, seven hundred twenty".