3803494783968 has 960 divisors, whose sum is σ = 12853030772736. Its totient is φ = 1092963456000.

The previous prime is 3803494783871. The next prime is 3803494783969. The reversal of 3803494783968 is 8693874943083.

3803494783968 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 494 + 78 + 3 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3803494783896 and 3803494783905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803494783969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12389233671 + ... + 12389233977.

Almost surely, 2^{3803494783968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3803494783968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426515386368).

3803494783968 is an abundant number, since it is smaller than the sum of its proper divisors (9049535988768).

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

3803494783968 is a wasteful number, since it uses less digits than its factorization.

3803494783968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 3803494783968 in words is "three trillion, eight hundred three billion, four hundred ninety-four million, seven hundred eighty-three thousand, nine hundred sixty-eight".