3964257248 has 96 divisors (see below), whose sum is σ = 9038389248. Its totient is φ = 1676505600.

The previous prime is 3964257233. The next prime is 3964257257. The reversal of 3964257248 is 8427524693.

Its product of digits (2903040) is a multiple of the sum of its prime factors (896).

It is a junction number, because it is equal to n+sod(n) for n = 3964257196 and 3964257205.

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, 9416078 + ... + 9416498.

It is an arithmetic number, because the mean of its divisors is an integer number (94149888).

Almost surely, 2^3964257248 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 3964257248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519194624).

3964257248 is an abundant number, since it is smaller than the sum of its proper divisors (5074132000).

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

3964257248 is a wasteful number, since it uses less digits than its factorization.

3964257248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 888 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 50.

The square root of 3964257248 is about 62962.3478596534. The cubic root of 3964257248 is about 1582.6587249648.

The spelling of 3964257248 in words is "three billion, nine hundred sixty-four million, two hundred fifty-seven thousand, two hundred forty-eight".