3540414006 has 96 divisors (see below), whose sum is σ = 7971732288. Its totient is φ = 1135088640.

The previous prime is 3540413977. The next prime is 3540414011. The reversal of 3540414006 is 6004140453.

3540414006 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12781140 + ... + 12781416.

It is an arithmetic number, because the mean of its divisors is an integer number (83038878).

Almost surely, 2^3540414006 is an apocalyptic number.

3540414006 is an abundant number, since it is smaller than the sum of its proper divisors (4431318282).

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

3540414006 is a wasteful number, since it uses less digits than its factorization.

3540414006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3540414006 is about 59501.3781857194. The cubic root of 3540414006 is about 1524.1159804887.

Adding to 3540414006 its reverse (6004140453), we get a palindrome (9544554459).

The spelling of 3540414006 in words is "three billion, five hundred forty million, four hundred fourteen thousand, six".