3506430064 has 60 divisors (see below), whose sum is σ = 7246243800. Its totient is φ = 1643367424.

The previous prime is 3506430061. The next prime is 3506430071. The reversal of 3506430064 is 4600346053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506430061) 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 11 ways as a sum of consecutive naturals, for example, 1242447 + ... + 1245265.

It is an arithmetic number, because the mean of its divisors is an integer number (120770730).

Almost surely, 2^3506430064 is an apocalyptic number.

3506430064 is a gapful number since it is divisible by the number (34) 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 3506430064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623121900).

3506430064 is an abundant number, since it is smaller than the sum of its proper divisors (3739813736).

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

3506430064 is a wasteful number, since it uses less digits than its factorization.

3506430064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 3506430064 is about 59215.1168537224. The cubic root of 3506430064 is about 1519.2237010083.

The spelling of 3506430064 in words is "three billion, five hundred six million, four hundred thirty thousand, sixty-four".