3346850304 has 480 divisors, whose sum is σ = 11983994880. Its totient is φ = 877879296.

The previous prime is 3346850293. The next prime is 3346850317. The reversal of 3346850304 is 4030586433.

3346850304 is a `hidden beast` number, since 3 + 346 + 8 + 5 + 0 + 304 = 666.

It is a super-2 number, since 2×3346850304² = 22402813914769784832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26353089 + ... + 26353215.

It is an arithmetic number, because the mean of its divisors is an integer number (24966656).

Almost surely, 2^3346850304 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 3346850304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991997440).

3346850304 is an abundant number, since it is smaller than the sum of its proper divisors (8637144576).

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

3346850304 is a wasteful number, since it uses less digits than its factorization.

3346850304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3346850304 is about 57851.9688861148. The cubic root of 3346850304 is about 1495.8180262322.

The spelling of 3346850304 in words is "three billion, three hundred forty-six million, eight hundred fifty thousand, three hundred four".