3486284928 has 512 divisors, whose sum is σ = 12778560000. Its totient is φ = 932069376.

The previous prime is 3486284917. The next prime is 3486284953. The reversal of 3486284928 is 8294826843.

3486284928 is a `hidden beast` number, since 3 + 4 + 8 + 628 + 4 + 9 + 2 + 8 = 666.

3486284928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 20151850 + ... + 20152022.

It is an arithmetic number, because the mean of its divisors is an integer number (24958125).

Almost surely, 2^3486284928 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 3486284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389280000).

3486284928 is an abundant number, since it is smaller than the sum of its proper divisors (9292275072).

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

3486284928 is a wasteful number, since it uses less digits than its factorization.

3486284928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 3486284928 is about 59044.7705389732. The cubic root of 3486284928 is about 1516.3086976346.

The spelling of 3486284928 in words is "three billion, four hundred eighty-six million, two hundred eighty-four thousand, nine hundred twenty-eight".