3406350528 has 336 divisors, whose sum is σ = 11541044736. Its totient is φ = 940584960.

The previous prime is 3406350509. The next prime is 3406350529. The reversal of 3406350528 is 8250536043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 3406350492 and 3406350501.

It is not an unprimeable number, because it can be changed into a prime (3406350529) 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 47 ways as a sum of consecutive naturals, for example, 20897775 + ... + 20897937.

Almost surely, 2^3406350528 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 3406350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770522368).

3406350528 is an abundant number, since it is smaller than the sum of its proper divisors (8134694208).

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

3406350528 is a wasteful number, since it uses less digits than its factorization.

3406350528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3406350528 is about 58363.9488725703. The cubic root of 3406350528 is about 1504.6302153643.

The spelling of 3406350528 in words is "three billion, four hundred six million, three hundred fifty thousand, five hundred twenty-eight".