3961129392 has 320 divisors, whose sum is σ = 12914173440. Its totient is φ = 1166400000.

The previous prime is 3961129379. The next prime is 3961129397. The reversal of 3961129392 is 2939211693.

3961129392 is a `hidden beast` number, since 3 + 9 + 611 + 29 + 3 + 9 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3961129397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15781267 + ... + 15781517.

It is an arithmetic number, because the mean of its divisors is an integer number (40356792).

Almost surely, 2^3961129392 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 3961129392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457086720).

3961129392 is an abundant number, since it is smaller than the sum of its proper divisors (8953044048).

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

3961129392 is a wasteful number, since it uses less digits than its factorization.

3961129392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 308 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 3961129392 is about 62937.5038589870. The cubic root of 3961129392 is about 1582.2423686077.

It can be divided in two parts, 396112 and 9392, that added together give a palindrome (405504).

The spelling of 3961129392 in words is "three billion, nine hundred sixty-one million, one hundred twenty-nine thousand, three hundred ninety-two".