3920403456 has 352 divisors, whose sum is σ = 12969792000. Its totient is φ = 1162543104.

The previous prime is 3920403427. The next prime is 3920403463. The reversal of 3920403456 is 6543040293.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3920403456.

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 31 ways as a sum of consecutive naturals, for example, 8930085 + ... + 8930523.

It is an arithmetic number, because the mean of its divisors is an integer number (36846000).

Almost surely, 2^3920403456 is an apocalyptic number.

3920403456 is a gapful number since it is divisible by the number (36) 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 3920403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484896000).

3920403456 is an abundant number, since it is smaller than the sum of its proper divisors (9049388544).

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

3920403456 is a wasteful number, since it uses less digits than its factorization.

3920403456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3920403456 is about 62613.1252693874. The cubic root of 3920403456 is about 1576.8011249873.

The spelling of 3920403456 in words is "three billion, nine hundred twenty million, four hundred three thousand, four hundred fifty-six".