3920346576 has 60 divisors (see below), whose sum is σ = 11006929440. Its totient is φ = 1302565440.

The previous prime is 3920346539. The next prime is 3920346601. The reversal of 3920346576 is 6756430293.

3920346576 is a `hidden beast` number, since 39 + 2 + 0 + 3 + 46 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1015 + ... + 88553.

It is an arithmetic number, because the mean of its divisors is an integer number (183448824).

Almost surely, 2^3920346576 is an apocalyptic number.

3920346576 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 3920346576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503464720).

3920346576 is an abundant number, since it is smaller than the sum of its proper divisors (7086582864).

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

3920346576 is a wasteful number, since it uses less digits than its factorization.

3920346576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87864 (or 87855 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3920346576 is about 62612.6710498762. The cubic root of 3920346576 is about 1576.7934991666.

The spelling of 3920346576 in words is "three billion, nine hundred twenty million, three hundred forty-six thousand, five hundred seventy-six".