3956199520 has 384 divisors, whose sum is σ = 12070840320. Its totient is φ = 1192181760.

The previous prime is 3956199493. The next prime is 3956199529. The reversal of 3956199520 is 259916593.

3956199520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3956199529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44451636 + ... + 44451724.

It is an arithmetic number, because the mean of its divisors is an integer number (31434480).

Almost surely, 2^3956199520 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 3956199520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035420160).

3956199520 is an abundant number, since it is smaller than the sum of its proper divisors (8114640800).

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

3956199520 is a wasteful number, since it uses less digits than its factorization.

3956199520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 49.

The square root of 3956199520 is about 62898.3268457914. The cubic root of 3956199520 is about 1581.5856964162.

The spelling of 3956199520 in words is "three billion, nine hundred fifty-six million, one hundred ninety-nine thousand, five hundred twenty".