3924945840 has 80 divisors (see below), whose sum is σ = 12586917600. Its totient is φ = 1010558976.

The previous prime is 3924945821. The next prime is 3924945841. The reversal of 3924945840 is 485494293.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3924945840.

It is not an unprimeable number, because it can be changed into a prime (3924945841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 275005 + ... + 288924.

It is an arithmetic number, because the mean of its divisors is an integer number (157336470).

Almost surely, 2^3924945840 is an apocalyptic number.

3924945840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3924945840 is an abundant number, since it is smaller than the sum of its proper divisors (8661971760).

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

3924945840 is a wasteful number, since it uses less digits than its factorization.

3924945840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563974 (or 563968 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 3924945840 is about 62649.3881853606. The cubic root of 3924945840 is about 1577.4098779557.

The spelling of 3924945840 in words is "three billion, nine hundred twenty-four million, nine hundred forty-five thousand, eight hundred forty".