3528252058320 has 960 divisors, whose sum is σ = 13964106240000. Its totient is φ = 817155440640.

The previous prime is 3528252058301. The next prime is 3528252058339. The reversal of 3528252058320 is 238502528253.

3528252058320 is a `hidden beast` number, since 3 + 5 + 2 + 8 + 25 + 20 + 583 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3528252058301) and next prime (3528252058339).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 735203281 + ... + 735208079.

It is an arithmetic number, because the mean of its divisors is an integer number (14545944000).

Almost surely, 2^{3528252058320} is an apocalyptic number.

3528252058320 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 3528252058320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982053120000).

3528252058320 is an abundant number, since it is smaller than the sum of its proper divisors (10435854181680).

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

3528252058320 is a wasteful number, since it uses less digits than its factorization.

3528252058320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 3528252058320 in words is "three trillion, five hundred twenty-eight billion, two hundred fifty-two million, fifty-eight thousand, three hundred twenty".