3465335520 has 288 divisors, whose sum is σ = 12911633280. Its totient is φ = 875266560.

The previous prime is 3465335513. The next prime is 3465335537. The reversal of 3465335520 is 255335643.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736375 + ... + 741065.

It is an arithmetic number, because the mean of its divisors is an integer number (44832060).

Almost surely, 2^3465335520 is an apocalyptic number.

3465335520 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 3465335520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455816640).

3465335520 is an abundant number, since it is smaller than the sum of its proper divisors (9446297760).

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

3465335520 is a wasteful number, since it uses less digits than its factorization.

3465335520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The square root of 3465335520 is about 58867.1004891527. The cubic root of 3465335520 is about 1513.2653806270.

The spelling of 3465335520 in words is "three billion, four hundred sixty-five million, three hundred thirty-five thousand, five hundred twenty".