3465970560 has 640 divisors, whose sum is σ = 13788482400. Its totient is φ = 824131584.

The previous prime is 3465970559. The next prime is 3465970603. The reversal of 3465970560 is 650795643.

3465970560 is a `hidden beast` number, since 3 + 4 + 6 + 597 + 0 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 24934971 + ... + 24935109.

Almost surely, 2^3465970560 is an apocalyptic number.

3465970560 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 3465970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894241200).

3465970560 is an abundant number, since it is smaller than the sum of its proper divisors (10322511840).

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

3465970560 is a wasteful number, since it uses less digits than its factorization.

3465970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3465970560 is about 58872.4940867974. The cubic root of 3465970560 is about 1513.3578127880.

The spelling of 3465970560 in words is "three billion, four hundred sixty-five million, nine hundred seventy thousand, five hundred sixty".