3963867264 has 192 divisors, whose sum is σ = 13127400000. Its totient is φ = 1124591616.

The previous prime is 3963867251. The next prime is 3963867287. The reversal of 3963867264 is 4627683693.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3963867264² = 31424487373221691392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3963867264.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199887 + ... + 1203185.

It is an arithmetic number, because the mean of its divisors is an integer number (68371875).

Almost surely, 2^3963867264 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 3963867264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563700000).

3963867264 is an abundant number, since it is smaller than the sum of its proper divisors (9163532736).

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

3963867264 is a wasteful number, since it uses less digits than its factorization.

3963867264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475 (or 3460 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 3963867264 is about 62959.2508214639. The cubic root of 3963867264 is about 1582.6068252198.

The spelling of 3963867264 in words is "three billion, nine hundred sixty-three million, eight hundred sixty-seven thousand, two hundred sixty-four".