3956599440 has 320 divisors, whose sum is σ = 14457169920. Its totient is φ = 992839680.

The previous prime is 3956599433. The next prime is 3956599453. The reversal of 3956599440 is 449956593.

3956599440 is a `hidden beast` number, since 3 + 9 + 5 + 6 + 599 + 4 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2476722 + ... + 2478318.

It is an arithmetic number, because the mean of its divisors is an integer number (45178656).

Almost surely, 2^3956599440 is an apocalyptic number.

3956599440 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 3956599440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228584960).

3956599440 is an abundant number, since it is smaller than the sum of its proper divisors (10500570480).

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

3956599440 is a wasteful number, since it uses less digits than its factorization.

3956599440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 3956599440 is about 62901.5058643273. The cubic root of 3956599440 is about 1581.6389871595.

The spelling of 3956599440 in words is "three billion, nine hundred fifty-six million, five hundred ninety-nine thousand, four hundred forty".