3940467264 has 280 divisors, whose sum is σ = 12587785848. Its totient is φ = 1214300160.

The previous prime is 3940467253. The next prime is 3940467283. The reversal of 3940467264 is 4627640493.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1101708864 + 2838758400 = 33192^2 + 53280^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5375442 + ... + 5376174.

Almost surely, 2^3940467264 is an apocalyptic number.

3940467264 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 3940467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6293892924).

3940467264 is an abundant number, since it is smaller than the sum of its proper divisors (8647318584).

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

3940467264 is a wasteful number, since it uses less digits than its factorization.

3940467264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3940467264 is about 62773.1412628044. The cubic root of 3940467264 is about 1579.4864623856.

The spelling of 3940467264 in words is "three billion, nine hundred forty million, four hundred sixty-seven thousand, two hundred sixty-four".