3465332882760 has 512 divisors, whose sum is σ = 12662645760000. Its totient is φ = 757586801664.

The previous prime is 3465332882729. The next prime is 3465332882881. The reversal of 3465332882760 is 672882335643.

It is a self number, because there is not a number n which added to its sum of digits gives 3465332882760.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89832997 + ... + 89871563.

It is an arithmetic number, because the mean of its divisors is an integer number (24731730000).

Almost surely, 2^{3465332882760} is an apocalyptic number.

3465332882760 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 3465332882760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331322880000).

3465332882760 is an abundant number, since it is smaller than the sum of its proper divisors (9197312877240).

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

3465332882760 is a wasteful number, since it uses less digits than its factorization.

3465332882760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38698 (or 38680 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 3465332882760 in words is "three trillion, four hundred sixty-five billion, three hundred thirty-two million, eight hundred eighty-two thousand, seven hundred sixty".