3608378928000 has 3072 divisors, whose sum is σ = 17765124249600. Its totient is φ = 704692224000.

The previous prime is 3608378927971. The next prime is 3608378928001. The reversal of 3608378928000 is 8298738063.

3608378928000 is a `hidden beast` number, since 3 + 608 + 3 + 7 + 8 + 9 + 28 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3608378928001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5089391646 + ... + 5089392354.

It is an arithmetic number, because the mean of its divisors is an integer number (5782918050).

Almost surely, 2^{3608378928000} is an apocalyptic number.

3608378928000 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 3608378928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8882562124800).

3608378928000 is an abundant number, since it is smaller than the sum of its proper divisors (14156745321600).

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

3608378928000 is a wasteful number, since it uses less digits than its factorization.

3608378928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3608378928000 in words is "three trillion, six hundred eight billion, three hundred seventy-eight million, nine hundred twenty-eight thousand".