3628828844640 has 384 divisors, whose sum is σ = 13079154654720. Its totient is φ = 939155503104.

The previous prime is 3628828844621. The next prime is 3628828844653. The reversal of 3628828844640 is 464488288263.

3628828844640 is a `hidden beast` number, since 36 + 2 + 8 + 82 + 88 + 446 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29102107 + ... + 29226533.

It is an arithmetic number, because the mean of its divisors is an integer number (34060298580).

Almost surely, 2^{3628828844640} is an apocalyptic number.

3628828844640 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 3628828844640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539577327360).

3628828844640 is an abundant number, since it is smaller than the sum of its proper divisors (9450325810080).

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

3628828844640 is a wasteful number, since it uses less digits than its factorization.

3628828844640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124651 (or 124637 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 63.

The spelling of 3628828844640 in words is "three trillion, six hundred twenty-eight billion, eight hundred twenty-eight million, eight hundred forty-four thousand, six hundred forty".