3452544000 has 616 divisors, whose sum is σ = 13263135288. Its totient is φ = 895795200.

The previous prime is 3452543977. The next prime is 3452544013. The reversal of 3452544000 is 4452543.

3452544000 is a `hidden beast` number, since 3 + 4 + 5 + 254 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 3451797504 = 864^2 + 58752^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 93311982 + ... + 93312018.

Almost surely, 2^3452544000 is an apocalyptic number.

3452544000 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 3452544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631567644).

3452544000 is an abundant number, since it is smaller than the sum of its proper divisors (9810591288).

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

3452544000 is an frugal number, since it uses more digits than its factorization.

3452544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 3452544000 is about 58758.3525977371. The cubic root of 3452544000 is about 1511.4011233710.

Adding to 3452544000 its reverse (4452543), we get a palindrome (3456996543).

The spelling of 3452544000 in words is "three billion, four hundred fifty-two million, five hundred forty-four thousand".