3545504000 has 144 divisors (see below), whose sum is σ = 8927873136. Its totient is φ = 1402880000.

The previous prime is 3545503999. The next prime is 3545504093. The reversal of 3545504000 is 4055453.

It can be written as a sum of positive squares in 8 ways, for example, as 600054016 + 2945449984 = 24496^2 + 54272^2 .

It is a super-2 number, since 2×3545504000² = 25141197228032000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3231452 + ... + 3232548.

It is an arithmetic number, because the mean of its divisors is an integer number (61999119).

Almost surely, 2^3545504000 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 3545504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463936568).

3545504000 is an abundant number, since it is smaller than the sum of its proper divisors (5382369136).

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

3545504000 is a wasteful number, since it uses less digits than its factorization.

3545504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 3545504000 is about 59544.1348916919. The cubic root of 3545504000 is about 1524.8460294250.

Adding to 3545504000 its reverse (4055453), we get a palindrome (3549559453).

The spelling of 3545504000 in words is "three billion, five hundred forty-five million, five hundred four thousand".