3842928540 has 432 divisors, whose sum is σ = 13834600416. Its totient is φ = 859668480.

The previous prime is 3842928517. The next prime is 3842928541. The reversal of 3842928540 is 458292483.

3842928540 is a `hidden beast` number, since 3 + 84 + 2 + 9 + 28 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842928541) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35915167 + ... + 35915273.

It is an arithmetic number, because the mean of its divisors is an integer number (32024538).

Almost surely, 2^3842928540 is an apocalyptic number.

3842928540 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 3842928540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917300208).

3842928540 is an abundant number, since it is smaller than the sum of its proper divisors (9991671876).

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

3842928540 is a wasteful number, since it uses less digits than its factorization.

3842928540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3842928540 is about 61991.3585913392. The cubic root of 3842928540 is about 1566.3450402591.

The spelling of 3842928540 in words is "three billion, eight hundred forty-two million, nine hundred twenty-eight thousand, five hundred forty".