3601557440 has 224 divisors, whose sum is σ = 9880786944. Its totient is φ = 1238630400.

The previous prime is 3601557433. The next prime is 3601557451. The reversal of 3601557440 is 447551063.

It is a self number, because there is not a number n which added to its sum of digits gives 3601557440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8981240 + ... + 8981640.

It is an arithmetic number, because the mean of its divisors is an integer number (44110656).

Almost surely, 2^3601557440 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 3601557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940393472).

3601557440 is an abundant number, since it is smaller than the sum of its proper divisors (6279229504).

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

3601557440 is a wasteful number, since it uses less digits than its factorization.

3601557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 3601557440 is about 60012.9772632553. The cubic root of 3601557440 is about 1532.8398479158.

The spelling of 3601557440 in words is "three billion, six hundred one million, five hundred fifty-seven thousand, four hundred forty".