3320613627540 has 192 divisors, whose sum is σ = 10268761402368. Its totient is φ = 795059020800.

The previous prime is 3320613627523. The next prime is 3320613627553. The reversal of 3320613627540 is 457263160233.

It is a super-2 number, since 2×3320613627540² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3320613627492 and 3320613627501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23304192 + ... + 23446248.

It is an arithmetic number, because the mean of its divisors is an integer number (53483132304).

Almost surely, 2^{3320613627540} is an apocalyptic number.

3320613627540 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 3320613627540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134380701184).

3320613627540 is an abundant number, since it is smaller than the sum of its proper divisors (6948147774828).

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

3320613627540 is a wasteful number, since it uses less digits than its factorization.

3320613627540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142518 (or 142516 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

Adding to 3320613627540 its reverse (457263160233), we get a palindrome (3777876787773).

The spelling of 3320613627540 in words is "three trillion, three hundred twenty billion, six hundred thirteen million, six hundred twenty-seven thousand, five hundred forty".