3960414432 has 96 divisors (see below), whose sum is σ = 12439798560. Its totient is φ = 1218585600.

The previous prime is 3960414427. The next prime is 3960414449. The reversal of 3960414432 is 2344140693.

It is a happy number.

3960414432 is a `hidden beast` number, since 3 + 9 + 604 + 1 + 4 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 165069 + ... + 187532.

It is an arithmetic number, because the mean of its divisors is an integer number (129581235).

Almost surely, 2^3960414432 is an apocalyptic number.

3960414432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3960414432 is an abundant number, since it is smaller than the sum of its proper divisors (8479384128).

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

3960414432 is a wasteful number, since it uses less digits than its factorization.

3960414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352633 (or 352619 counting only the distinct ones).

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

The square root of 3960414432 is about 62931.8236824581. The cubic root of 3960414432 is about 1582.1471678068.

The spelling of 3960414432 in words is "three billion, nine hundred sixty million, four hundred fourteen thousand, four hundred thirty-two".