3466034496 has 224 divisors, whose sum is σ = 10924519680. Its totient is φ = 1074788352.

The previous prime is 3466034489. The next prime is 3466034497. The reversal of 3466034496 is 6944306643.

3466034496 is a `hidden beast` number, since 34 + 6 + 603 + 4 + 4 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466034497) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1469350 + ... + 1471706.

Almost surely, 2^3466034496 is an apocalyptic number.

3466034496 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 3466034496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462259840).

3466034496 is an abundant number, since it is smaller than the sum of its proper divisors (7458485184).

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

3466034496 is a wasteful number, since it uses less digits than its factorization.

3466034496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The square root of 3466034496 is about 58873.0370882971. The cubic root of 3466034496 is about 1513.3671182575.

The spelling of 3466034496 in words is "three billion, four hundred sixty-six million, thirty-four thousand, four hundred ninety-six".