3956999040 has 320 divisors, whose sum is σ = 14520116160. Its totient is φ = 1026183168.

The previous prime is 3956999023. The next prime is 3956999087. The reversal of 3956999040 is 409996593.

3956999040 is a `hidden beast` number, since 39 + 569 + 9 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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, 1917049 + ... + 1919111.

It is an arithmetic number, because the mean of its divisors is an integer number (45375363).

Almost surely, 2^3956999040 is an apocalyptic number.

3956999040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3956999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260058080).

3956999040 is an abundant number, since it is smaller than the sum of its proper divisors (10563117120).

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

3956999040 is a wasteful number, since it uses less digits than its factorization.

3956999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 3956999040 is about 62904.6821786741. The cubic root of 3956999040 is about 1581.6922316753.

The spelling of 3956999040 in words is "three billion, nine hundred fifty-six million, nine hundred ninety-nine thousand, forty".