3465206784 has 352 divisors, whose sum is σ = 11444858880. Its totient is φ = 1028505600.

The previous prime is 3465206777. The next prime is 3465206819. The reversal of 3465206784 is 4876025643.

3465206784 is a `hidden beast` number, since 3 + 46 + 520 + 6 + 7 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11141989 + ... + 11142299.

Almost surely, 2^3465206784 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 3465206784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722429440).

3465206784 is an abundant number, since it is smaller than the sum of its proper divisors (7979652096).

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

3465206784 is a wasteful number, since it uses less digits than its factorization.

3465206784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3465206784 is about 58866.0070329218. The cubic root of 3465206784 is about 1513.2466413021.

The spelling of 3465206784 in words is "three billion, four hundred sixty-five million, two hundred six thousand, seven hundred eighty-four".