3806466048 has 520 divisors, whose sum is σ = 14271998400. Its totient is φ = 982056960.

The previous prime is 3806466017. The next prime is 3806466049. The reversal of 3806466048 is 8406646083.

3806466048 is a `hidden beast` number, since 38 + 0 + 6 + 4 + 6 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3806465994 and 3806466012.

It is not an unprimeable number, because it can be changed into a prime (3806466049) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25546678 + ... + 25546826.

Almost surely, 2^3806466048 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 3806466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135999200).

3806466048 is an abundant number, since it is smaller than the sum of its proper divisors (10465532352).

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

3806466048 is a wasteful number, since it uses less digits than its factorization.

3806466048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3806466048 is about 61696.5643127719. The cubic root of 3806466048 is about 1561.3753551258.

The spelling of 3806466048 in words is "three billion, eight hundred six million, four hundred sixty-six thousand, forty-eight".