3465776160 has 960 divisors, whose sum is σ = 16017813504. Its totient is φ = 684288000.

The previous prime is 3465776089. The next prime is 3465776173. The reversal of 3465776160 is 616775643.

3465776160 is a `hidden beast` number, since 3 + 465 + 77 + 61 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 22952085 + ... + 22952235.

Almost surely, 2^3465776160 is an apocalyptic number.

3465776160 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 3465776160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8008906752).

3465776160 is an abundant number, since it is smaller than the sum of its proper divisors (12552037344).

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

3465776160 is a wasteful number, since it uses less digits than its factorization.

3465776160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3465776160 is about 58870.8430379590. The cubic root of 3465776160 is about 1513.3295184277.

The spelling of 3465776160 in words is "three billion, four hundred sixty-five million, seven hundred seventy-six thousand, one hundred sixty".