3486484578528 has 480 divisors, whose sum is σ = 11837080753344. Its totient is φ = 986097328128.

The previous prime is 3486484578497. The next prime is 3486484578547. The reversal of 3486484578528 is 8258754846843.

3486484578528 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 48 + 4 + 57 + 8 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1651507200) is a multiple of the sum of its prime factors (4096).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 986832250 + ... + 986835782.

Almost surely, 2^{3486484578528} 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 3486484578528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918540376672).

3486484578528 is an abundant number, since it is smaller than the sum of its proper divisors (8350596174816).

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

3486484578528 is a wasteful number, since it uses less digits than its factorization.

3486484578528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4079 counting only the distinct ones).

The product of its digits is 1651507200, while the sum is 72.

The spelling of 3486484578528 in words is "three trillion, four hundred eighty-six billion, four hundred eighty-four million, five hundred seventy-eight thousand, five hundred twenty-eight".