3540124608 has 224 divisors, whose sum is σ = 10428549120. Its totient is φ = 1054801920.

The previous prime is 3540124607. The next prime is 3540124633. The reversal of 3540124608 is 8064210453.

It is a super-4 number, since 4×3540124608⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3540124607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5969560 + ... + 5970152.

Almost surely, 2^3540124608 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 3540124608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214274560).

3540124608 is an abundant number, since it is smaller than the sum of its proper divisors (6888424512).

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

3540124608 is a wasteful number, since it uses less digits than its factorization.

3540124608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3540124608 is about 59498.9462763838. The cubic root of 3540124608 is about 1524.0744516228.

The spelling of 3540124608 in words is "three billion, five hundred forty million, one hundred twenty-four thousand, six hundred eight".