3964969024 has 63 divisors (see below), whose sum is σ = 8376123837. Its totient is φ = 1861837824.

The previous prime is 3964969003. The next prime is 3964969027. The reversal of 3964969024 is 4209694693.

The square root of 3964969024 is 62968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3086913600 + 878055424 = 55560^2 + 29632^2 .

It is a super-2 number, since 2×3964969024² = 31441958722559025152, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3964969027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8563417 + ... + 8563879.

Almost surely, 2^3964969024 is an apocalyptic number.

3964969024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3964969024 is the 62968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3964969024

3964969024 is an abundant number, since it is smaller than the sum of its proper divisors (4411154813).

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

3964969024 is an frugal number, since it uses more digits than its factorization.

3964969024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 52.

The cubic root of 3964969024 is about 1582.7534405708.

The spelling of 3964969024 in words is "three billion, nine hundred sixty-four million, nine hundred sixty-nine thousand, twenty-four".