3464818416 has 480 divisors, whose sum is σ = 11699251200. Its totient is φ = 985374720.

The previous prime is 3464818393. The next prime is 3464818429. The reversal of 3464818416 is 6148184643.

3464818416 is a `hidden beast` number, since 3 + 464 + 8 + 184 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38930500 + ... + 38930588.

It is an arithmetic number, because the mean of its divisors is an integer number (24373440).

Almost surely, 2^3464818416 is an apocalyptic number.

3464818416 is a gapful number since it is divisible by the number (36) 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 3464818416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849625600).

3464818416 is an abundant number, since it is smaller than the sum of its proper divisors (8234432784).

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

3464818416 is a wasteful number, since it uses less digits than its factorization.

3464818416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3464818416 is about 58862.7081945777. The cubic root of 3464818416 is about 1513.1901060970.

The spelling of 3464818416 in words is "three billion, four hundred sixty-four million, eight hundred eighteen thousand, four hundred sixteen".