3961432440 has 192 divisors, whose sum is σ = 15360861600. Its totient is φ = 905458176.

The previous prime is 3961432421. The next prime is 3961432471. The reversal of 3961432440 is 442341693.

It is a happy number.

3961432440 is a `hidden beast` number, since 3 + 9 + 614 + 32 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3961432395 and 3961432404.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 15492 + ... + 90348.

Almost surely, 2^3961432440 is an apocalyptic number.

3961432440 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 3961432440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680430800).

3961432440 is an abundant number, since it is smaller than the sum of its proper divisors (11399429160).

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

3961432440 is a wasteful number, since it uses less digits than its factorization.

3961432440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74891 (or 74874 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3961432440 is about 62939.9113440748. The cubic root of 3961432440 is about 1582.2827176353.

The spelling of 3961432440 in words is "three billion, nine hundred sixty-one million, four hundred thirty-two thousand, four hundred forty".