3783312825600 has 864 divisors, whose sum is σ = 15928894485504. Its totient is φ = 767847628800.

The previous prime is 3783312825583. The next prime is 3783312825629. The reversal of 3783312825600 is 65282133873.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3783312825600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63541444 + ... + 63600956.

Almost surely, 2^{3783312825600} is an apocalyptic number.

3783312825600 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 3783312825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7964447242752).

3783312825600 is an abundant number, since it is smaller than the sum of its proper divisors (12145581659904).

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

3783312825600 is a wasteful number, since it uses less digits than its factorization.

3783312825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59603 (or 59584 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 3783312825600 in words is "three trillion, seven hundred eighty-three billion, three hundred twelve million, eight hundred twenty-five thousand, six hundred".