3803412463992 has 448 divisors, whose sum is σ = 11779846848000. Its totient is φ = 1145381098752.

The previous prime is 3803412463967. The next prime is 3803412464017. The reversal of 3803412463992 is 2993642143083.

3803412463992 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 4 + 1 + 246 + 399 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3803412463967) and next prime (3803412464017).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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 111 ways as a sum of consecutive naturals, for example, 914939578 + ... + 914943734.

It is an arithmetic number, because the mean of its divisors is an integer number (26294301000).

Almost surely, 2^{3803412463992} 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 3803412463992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889923424000).

3803412463992 is an abundant number, since it is smaller than the sum of its proper divisors (7976434384008).

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

3803412463992 is a wasteful number, since it uses less digits than its factorization.

3803412463992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3803412463992 in words is "three trillion, eight hundred three billion, four hundred twelve million, four hundred sixty-three thousand, nine hundred ninety-two".