3967446440 has 32 divisors (see below), whose sum is σ = 9095188680. Its totient is φ = 1557034752.

The previous prime is 3967446437. The next prime is 3967446443. The reversal of 3967446440 is 446447693.

It is an interprime number because it is at equal distance from previous prime (3967446437) and next prime (3967446443).

It can be written as a sum of positive squares in 4 ways, for example, as 2544798916 + 1422647524 = 50446^2 + 37718^2 .

It is not an unprimeable number, because it can be changed into a prime (3967446443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933599 + ... + 937838.

Almost surely, 2^3967446440 is an apocalyptic number.

It is an amenable number.

3967446440 is an abundant number, since it is smaller than the sum of its proper divisors (5127742240).

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

3967446440 is a wasteful number, since it uses less digits than its factorization.

3967446440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871501 (or 1871497 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 47.

The square root of 3967446440 is about 62987.6689519465. The cubic root of 3967446440 is about 1583.0830204726.

The spelling of 3967446440 in words is "three billion, nine hundred sixty-seven million, four hundred forty-six thousand, four hundred forty".