3966421440 has 112 divisors (see below), whose sum is σ = 12781556352. Its totient is φ = 1041908736.

The previous prime is 3966421427. The next prime is 3966421457. The reversal of 3966421440 is 441246693.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33487 + ... + 95153.

Almost surely, 2^3966421440 is an apocalyptic number.

3966421440 is a gapful number since it is divisible by the number (30) 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 3966421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390778176).

3966421440 is an abundant number, since it is smaller than the sum of its proper divisors (8815134912).

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

3966421440 is a wasteful number, since it uses less digits than its factorization.

3966421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61754 (or 61744 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 3966421440 is about 62979.5319131541. The cubic root of 3966421440 is about 1582.9466775394.

The spelling of 3966421440 in words is "three billion, nine hundred sixty-six million, four hundred twenty-one thousand, four hundred forty".