3958507746 has 80 divisors (see below), whose sum is σ = 9041304888. Its totient is φ = 1294272000.

The previous prime is 3958507739. The next prime is 3958507753. The reversal of 3958507746 is 6477058593.

3958507746 is a `hidden beast` number, since 3 + 95 + 8 + 507 + 7 + 46 = 666.

3958507746 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3958507739) and next prime (3958507753).

It can be written as a sum of positive squares in 4 ways, for example, as 3879919521 + 78588225 = 62289^2 + 8865^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3958507692 and 3958507701.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1847836 + ... + 1849976.

Almost surely, 2^3958507746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3958507746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520652444).

3958507746 is an abundant number, since it is smaller than the sum of its proper divisors (5082797142).

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

3958507746 is a wasteful number, since it uses less digits than its factorization.

3958507746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 3958507746 is about 62916.6730366443. The cubic root of 3958507746 is about 1581.8932261932.

The spelling of 3958507746 in words is "three billion, nine hundred fifty-eight million, five hundred seven thousand, seven hundred forty-six".