3465356160 has 512 divisors, whose sum is σ = 13853721600. Its totient is φ = 718405632.

The previous prime is 3465356159. The next prime is 3465356161. The reversal of 3465356160 is 616535643.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3465356159) and next prime (3465356161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3465356161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6625659 + ... + 6626181.

It is an arithmetic number, because the mean of its divisors is an integer number (27058050).

Almost surely, 2^3465356160 is an apocalyptic number.

3465356160 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 3465356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926860800).

3465356160 is an abundant number, since it is smaller than the sum of its proper divisors (10388365440).

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

3465356160 is a wasteful number, since it uses less digits than its factorization.

3465356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 3465356160 is about 58867.2757990380. The cubic root of 3465356160 is about 1513.2683850245.

The spelling of 3465356160 in words is "three billion, four hundred sixty-five million, three hundred fifty-six thousand, one hundred sixty".