3538613580 has 192 divisors, whose sum is σ = 11122997760. Its totient is φ = 835301376.

The previous prime is 3538613579. The next prime is 3538613587. The reversal of 3538613580 is 853168353.

It is not an unprimeable number, because it can be changed into a prime (3538613587) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3042079 + ... + 3043241.

It is an arithmetic number, because the mean of its divisors is an integer number (57932280).

Almost surely, 2^3538613580 is an apocalyptic number.

3538613580 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 3538613580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561498880).

3538613580 is an abundant number, since it is smaller than the sum of its proper divisors (7584384180).

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

3538613580 is a wasteful number, since it uses less digits than its factorization.

3538613580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 3538613580 is about 59486.2469819705. The cubic root of 3538613580 is about 1523.8575810175.

The spelling of 3538613580 in words is "three billion, five hundred thirty-eight million, six hundred thirteen thousand, five hundred eighty".