3540544000 has 240 divisors, whose sum is σ = 10279063080. Its totient is φ = 1212825600.

The previous prime is 3540543997. The next prime is 3540544013. The reversal of 3540544000 is 4450453.

It can be written as a sum of positive squares in 4 ways, for example, as 366799104 + 3173744896 = 19152^2 + 56336^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3135436 + ... + 3136564.

Almost surely, 2^3540544000 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 3540544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139531540).

3540544000 is an abundant number, since it is smaller than the sum of its proper divisors (6738519080).

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

3540544000 is an equidigital number, since it uses as much as digits as its factorization.

3540544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 3540544000 is about 59502.4705369449. The cubic root of 3540544000 is about 1524.1346340047.

Adding to 3540544000 its reverse (4450453), we get a palindrome (3544994453).

The spelling of 3540544000 in words is "three billion, five hundred forty million, five hundred forty-four thousand".