3538007424 has 480 divisors, whose sum is σ = 12759159600. Its totient is φ = 952197120.

The previous prime is 3538007399. The next prime is 3538007441. The reversal of 3538007424 is 4247008353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 86292844 + ... + 86292884.

Almost surely, 2^3538007424 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 3538007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379579800).

3538007424 is an abundant number, since it is smaller than the sum of its proper divisors (9221152176).

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

3538007424 is an equidigital number, since it uses as much as digits as its factorization.

3538007424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3538007424 is about 59481.1518382084. The cubic root of 3538007424 is about 1523.7705650020.

The spelling of 3538007424 in words is "three billion, five hundred thirty-eight million, seven thousand, four hundred twenty-four".