3464363616 has 96 divisors (see below), whose sum is σ = 10524810240. Its totient is φ = 977273856.

The previous prime is 3464363611. The next prime is 3464363627. The reversal of 3464363616 is 6163634643.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3464363611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20460 + ... + 85716.

It is an arithmetic number, because the mean of its divisors is an integer number (109633440).

Almost surely, 2^3464363616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3464363616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262405120).

3464363616 is an abundant number, since it is smaller than the sum of its proper divisors (7060446624).

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

3464363616 is a wasteful number, since it uses less digits than its factorization.

3464363616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65356 (or 65348 counting only the distinct ones).

The product of its digits is 559872, while the sum is 42.

The square root of 3464363616 is about 58858.8448408563. The cubic root of 3464363616 is about 1513.1238949337.

The spelling of 3464363616 in words is "three billion, four hundred sixty-four million, three hundred sixty-three thousand, six hundred sixteen".