3928231440 has 240 divisors, whose sum is σ = 15303270528. Its totient is φ = 884404224.

The previous prime is 3928231403. The next prime is 3928231441. The reversal of 3928231440 is 441328293.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 3928231395 and 3928231404.

It is not an unprimeable number, because it can be changed into a prime (3928231441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331864 + ... + 343496.

Almost surely, 2^3928231440 is an apocalyptic number.

3928231440 is a gapful number since it is divisible by the number (30) 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 3928231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7651635264).

3928231440 is an abundant number, since it is smaller than the sum of its proper divisors (11375039088).

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

3928231440 is a wasteful number, since it uses less digits than its factorization.

3928231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11726 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3928231440 is about 62675.6048235675. The cubic root of 3928231440 is about 1577.8499088597.

The spelling of 3928231440 in words is "three billion, nine hundred twenty-eight million, two hundred thirty-one thousand, four hundred forty".