3928134240 has 216 divisors, whose sum is σ = 14241165120. Its totient is φ = 985780224.

The previous prime is 3928134209. The next prime is 3928134241. The reversal of 3928134240 is 424318293.

3928134240 is a `hidden beast` number, since 39 + 281 + 342 + 4 + 0 = 666.

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 = 3928134195 and 3928134204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928134241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 411441 + ... + 420879.

It is an arithmetic number, because the mean of its divisors is an integer number (65931320).

Almost surely, 2^3928134240 is an apocalyptic number.

3928134240 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 3928134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120582560).

3928134240 is an abundant number, since it is smaller than the sum of its proper divisors (10313030880).

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

3928134240 is a wasteful number, since it uses less digits than its factorization.

3928134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9466 counting only the distinct ones).

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

The square root of 3928134240 is about 62674.8293974543. The cubic root of 3928134240 is about 1577.8368946676.

The spelling of 3928134240 in words is "three billion, nine hundred twenty-eight million, one hundred thirty-four thousand, two hundred forty".