3965829504 has 384 divisors, whose sum is σ = 13648481280. Its totient is φ = 1010257920.

The previous prime is 3965829457. The next prime is 3965829521. The reversal of 3965829504 is 4059285693.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7582587 + ... + 7583109.

It is an arithmetic number, because the mean of its divisors is an integer number (35542920).

Almost surely, 2^3965829504 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 3965829504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824240640).

3965829504 is an abundant number, since it is smaller than the sum of its proper divisors (9682651776).

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

3965829504 is a wasteful number, since it uses less digits than its factorization.

3965829504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The square root of 3965829504 is about 62974.8323062475. The cubic root of 3965829504 is about 1582.8679289953.

The spelling of 3965829504 in words is "three billion, nine hundred sixty-five million, eight hundred twenty-nine thousand, five hundred four".