3463778304 has 312 divisors, whose sum is σ = 11830687232. Its totient is φ = 955514880.

The previous prime is 3463778303. The next prime is 3463778323. The reversal of 3463778304 is 4038773643.

3463778304 is a `hidden beast` number, since 3 + 4 + 637 + 7 + 8 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×3463778304² = 23995520278522232832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3463778304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3463778303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7999272 + ... + 7999704.

Almost surely, 2^3463778304 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 3463778304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915343616).

3463778304 is an abundant number, since it is smaller than the sum of its proper divisors (8366908928).

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

3463778304 is a wasteful number, since it uses less digits than its factorization.

3463778304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 3463778304 is about 58853.8724639254. The cubic root of 3463778304 is about 1513.0386749094.

The spelling of 3463778304 in words is "three billion, four hundred sixty-three million, seven hundred seventy-eight thousand, three hundred four".