3801466960 has 40 divisors (see below), whose sum is σ = 8884241640. Its totient is φ = 1512701952.

The previous prime is 3801466939. The next prime is 3801466967. The reversal of 3801466960 is 696641083.

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 3801462336 = 68^2 + 61656^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801466967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107665 + ... + 138544.

It is an arithmetic number, because the mean of its divisors is an integer number (222106041).

Almost surely, 2^3801466960 is an apocalyptic number.

It is an amenable number.

3801466960 is an abundant number, since it is smaller than the sum of its proper divisors (5082774680).

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

3801466960 is a wasteful number, since it uses less digits than its factorization.

3801466960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246415 (or 246409 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 3801466960 is about 61656.0374983667. The cubic root of 3801466960 is about 1560.6915299186.

The spelling of 3801466960 in words is "three billion, eight hundred one million, four hundred sixty-six thousand, nine hundred sixty".