3958434640 has 160 divisors (see below), whose sum is σ = 9852226560. Its totient is φ = 1476403200.

The previous prime is 3958434637. The next prime is 3958434643. The reversal of 3958434640 is 464348593.

It is an interprime number because it is at equal distance from previous prime (3958434637) and next prime (3958434643).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3958434643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16424920 + ... + 16425160.

It is an arithmetic number, because the mean of its divisors is an integer number (61576416).

Almost surely, 2^3958434640 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 3958434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926113280).

3958434640 is an abundant number, since it is smaller than the sum of its proper divisors (5893791920).

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

3958434640 is a wasteful number, since it uses less digits than its factorization.

3958434640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The square root of 3958434640 is about 62916.0920591863. The cubic root of 3958434640 is about 1581.8834879614.

The spelling of 3958434640 in words is "three billion, nine hundred fifty-eight million, four hundred thirty-four thousand, six hundred forty".