3465640788960 has 864 divisors, whose sum is σ = 13926054739968. Its totient is φ = 721455759360.

The previous prime is 3465640788941. The next prime is 3465640789001. The reversal of 3465640788960 is 698870465643.

It is a junction number, because it is equal to n+sod(n) for n = 3465640788891 and 3465640788900.

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 143 ways as a sum of consecutive naturals, for example, 210707457 + ... + 210723903.

It is an arithmetic number, because the mean of its divisors is an integer number (16118118912).

Almost surely, 2^{3465640788960} is an apocalyptic number.

3465640788960 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 3465640788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963027369984).

3465640788960 is an abundant number, since it is smaller than the sum of its proper divisors (10460413951008).

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

3465640788960 is a wasteful number, since it uses less digits than its factorization.

3465640788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16544 (or 16512 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 66.

The spelling of 3465640788960 in words is "three trillion, four hundred sixty-five billion, six hundred forty million, seven hundred eighty-eight thousand, nine hundred sixty".