3013635040 has 144 divisors (see below), whose sum is σ = 7844331600. Its totient is φ = 1093287936.

The previous prime is 3013635029. The next prime is 3013635043. The reversal of 3013635040 is 405363103.

It is a junction number, because it is equal to n+sod(n) for n = 3013634996 and 3013635014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013635043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1594416 + ... + 1596304.

It is an arithmetic number, because the mean of its divisors is an integer number (54474525).

Almost surely, 2^3013635040 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 3013635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922165800).

3013635040 is an abundant number, since it is smaller than the sum of its proper divisors (4830696560).

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

3013635040 is a wasteful number, since it uses less digits than its factorization.

3013635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 3013635040 is about 54896.5849575363. The cubic root of 3013635040 is about 1444.4312828430.

Adding to 3013635040 its reverse (405363103), we get a palindrome (3418998143).

The spelling of 3013635040 in words is "three billion, thirteen million, six hundred thirty-five thousand, forty".