3245630363136 has 960 divisors, whose sum is σ = 11601562452480. Its totient is φ = 886240051200.

The previous prime is 3245630363111. The next prime is 3245630363203. The reversal of 3245630363136 is 6313630365423.

3245630363136 is a `hidden beast` number, since 3 + 2 + 4 + 5 + 6 + 3 + 0 + 3 + 631 + 3 + 6 = 666.

It is a super-2 number, since 2×3245630363136² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3245630363091 and 3245630363100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2702439336 + ... + 2702440536.

It is an arithmetic number, because the mean of its divisors is an integer number (12084960888).

Almost surely, 2^{3245630363136} is an apocalyptic number.

3245630363136 is a gapful number since it is divisible by the number (36) 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 3245630363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800781226240).

3245630363136 is an abundant number, since it is smaller than the sum of its proper divisors (8355932089344).

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

3245630363136 is a wasteful number, since it uses less digits than its factorization.

3245630363136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 45.

The spelling of 3245630363136 in words is "three trillion, two hundred forty-five billion, six hundred thirty million, three hundred sixty-three thousand, one hundred thirty-six".