3921440320 has 448 divisors, whose sum is σ = 12087636480. Its totient is φ = 1180827648.

The previous prime is 3921440311. The next prime is 3921440351. The reversal of 3921440320 is 230441293.

3921440320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58528927 + ... + 58528993.

Almost surely, 2^3921440320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3921440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043818240).

3921440320 is an abundant number, since it is smaller than the sum of its proper divisors (8166196160).

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

3921440320 is a wasteful number, since it uses less digits than its factorization.

3921440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3921440320 is about 62621.4046472929. The cubic root of 3921440320 is about 1576.9401229439.

The spelling of 3921440320 in words is "three billion, nine hundred twenty-one million, four hundred forty thousand, three hundred twenty".