3205614652240 has 640 divisors, whose sum is σ = 10243144396800. Its totient is φ = 900778475520.

The previous prime is 3205614652213. The next prime is 3205614652241. The reversal of 3205614652240 is 422564165023.

It is a happy number.

3205614652240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3205614652240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3205614652193 and 3205614652202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205614652241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 591548251 + ... + 591553669.

It is an arithmetic number, because the mean of its divisors is an integer number (16004913120).

Almost surely, 2^{3205614652240} 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 3205614652240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121572198400).

3205614652240 is an abundant number, since it is smaller than the sum of its proper divisors (7037529744560).

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

3205614652240 is a wasteful number, since it uses less digits than its factorization.

3205614652240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 3205614652240 in words is "three trillion, two hundred five billion, six hundred fourteen million, six hundred fifty-two thousand, two hundred forty".