3564540000 has 960 divisors, whose sum is σ = 15870919680. Its totient is φ = 760320000.

The previous prime is 3564539969. The next prime is 3564540043. The reversal of 3564540000 is 454653.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 86939980 + ... + 86940020.

It is an arithmetic number, because the mean of its divisors is an integer number (16532208).

Almost surely, 2^3564540000 is an apocalyptic number.

3564540000 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 3564540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7935459840).

3564540000 is an abundant number, since it is smaller than the sum of its proper divisors (12306379680).

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

3564540000 is a wasteful number, since it uses less digits than its factorization.

3564540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3564540000 is about 59703.7687252656. The cubic root of 3564540000 is about 1527.5701531136.

Adding to 3564540000 its reverse (454653), we get a palindrome (3564994653).

The spelling of 3564540000 in words is "three billion, five hundred sixty-four million, five hundred forty thousand".