3930420384 has 144 divisors (see below), whose sum is σ = 12290503680. Its totient is φ = 1181537280.

The previous prime is 3930420367. The next prime is 3930420409. The reversal of 3930420384 is 4830240393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397452 + ... + 407220.

It is an arithmetic number, because the mean of its divisors is an integer number (85350720).

Almost surely, 2^3930420384 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 3930420384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145251840).

3930420384 is an abundant number, since it is smaller than the sum of its proper divisors (8360083296).

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

3930420384 is a wasteful number, since it uses less digits than its factorization.

3930420384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9923 (or 9912 counting only the distinct ones).

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

The square root of 3930420384 is about 62693.0648796181. The cubic root of 3930420384 is about 1578.1429316286.

Subtracting 3930420384 from its reverse (4830240393), we obtain a square (899820009 = 29997²).

The spelling of 3930420384 in words is "three billion, nine hundred thirty million, four hundred twenty thousand, three hundred eighty-four".