3804283201464 has 256 divisors, whose sum is σ = 11977606080000. Its totient is φ = 1111519438848.

The previous prime is 3804283201463. The next prime is 3804283201487. The reversal of 3804283201464 is 4641023824083.

It is a happy number.

3804283201464 is a `hidden beast` number, since 3 + 80 + 428 + 3 + 2 + 0 + 146 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3804283201463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3654214 + ... + 4578410.

It is an arithmetic number, because the mean of its divisors is an integer number (46787523750).

Almost surely, 2^{3804283201464} is an apocalyptic number.

3804283201464 is a gapful number since it is divisible by the number (34) 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 3804283201464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988803040000).

3804283201464 is an abundant number, since it is smaller than the sum of its proper divisors (8173322878536).

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

3804283201464 is a wasteful number, since it uses less digits than its factorization.

3804283201464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924307 (or 924297 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3804283201464 in words is "three trillion, eight hundred four billion, two hundred eighty-three million, two hundred one thousand, four hundred sixty-four".