3628608122880 has 1664 divisors, whose sum is σ = 15361105213440. Its totient is φ = 803481845760.

The previous prime is 3628608122879. The next prime is 3628608122921. The reversal of 3628608122880 is 882218068263.

3628608122880 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 608 + 1 + 2 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-3 number, since 3×3628608122880³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 2810695035 + ... + 2810696325.

Almost surely, 2^{3628608122880} is an apocalyptic number.

3628608122880 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 3628608122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680552606720).

3628608122880 is an abundant number, since it is smaller than the sum of its proper divisors (11732497090560).

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

3628608122880 is a wasteful number, since it uses less digits than its factorization.

3628608122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 3628608122880 in words is "three trillion, six hundred twenty-eight billion, six hundred eight million, one hundred twenty-two thousand, eight hundred eighty".