3465805770 has 288 divisors, whose sum is σ = 11126419200. Its totient is φ = 748077120.

The previous prime is 3465805699. The next prime is 3465805781. The reversal of 3465805770 is 775085643.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11143915 + ... + 11144225.

It is an arithmetic number, because the mean of its divisors is an integer number (38633400).

Almost surely, 2^3465805770 is an apocalyptic number.

3465805770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3465805770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563209600).

3465805770 is an abundant number, since it is smaller than the sum of its proper divisors (7660613430).

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

3465805770 is a wasteful number, since it uses less digits than its factorization.

3465805770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 3465805770 is about 58871.0945201463. The cubic root of 3465805770 is about 1513.3338281462. Note that the first 3 decimals are identical.

The spelling of 3465805770 in words is "three billion, four hundred sixty-five million, eight hundred five thousand, seven hundred seventy".