3463584768 has 264 divisors, whose sum is σ = 11656895328. Its totient is φ = 969965568.

The previous prime is 3463584731. The next prime is 3463584781. The reversal of 3463584768 is 8674853643.

It is a super-2 number, since 2×3463584768² = 23992838890243227648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3418630 + ... + 3419642.

Almost surely, 2^3463584768 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 3463584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828447664).

3463584768 is an abundant number, since it is smaller than the sum of its proper divisors (8193310560).

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

3463584768 is a wasteful number, since it uses less digits than its factorization.

3463584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1078 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 3463584768 is about 58852.2282330924. The cubic root of 3463584768 is about 1513.0104944196.

The spelling of 3463584768 in words is "three billion, four hundred sixty-three million, five hundred eighty-four thousand, seven hundred sixty-eight".