3763803829968 has 480 divisors, whose sum is σ = 13154042254080. Its totient is φ = 978178498560.

The previous prime is 3763803829949. The next prime is 3763803829987. The reversal of 3763803829968 is 8699283083673.

3763803829968 is a `hidden beast` number, since 3 + 76 + 38 + 0 + 382 + 99 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (3763803829949) and next prime (3763803829987).

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 = 3763803829896 and 3763803829905.

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 95 ways as a sum of consecutive naturals, for example, 444837258 + ... + 444845718.

It is an arithmetic number, because the mean of its divisors is an integer number (27404254696).

Almost surely, 2^{3763803829968} 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 3763803829968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577021127040).

3763803829968 is an abundant number, since it is smaller than the sum of its proper divisors (9390238424112).

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

3763803829968 is a wasteful number, since it uses less digits than its factorization.

3763803829968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8987 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 3763803829968 in words is "three trillion, seven hundred sixty-three billion, eight hundred three million, eight hundred twenty-nine thousand, nine hundred sixty-eight".