3506798592 has 384 divisors, whose sum is σ = 11777425920. Its totient is φ = 994836480.

The previous prime is 3506798591. The next prime is 3506798597. The reversal of 3506798592 is 2958976053.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506798591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74612713 + ... + 74612759.

It is an arithmetic number, because the mean of its divisors is an integer number (30670380).

Almost surely, 2^3506798592 is an apocalyptic number.

3506798592 is a gapful number since it is divisible by the number (32) 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 3506798592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888712960).

3506798592 is an abundant number, since it is smaller than the sum of its proper divisors (8270627328).

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

3506798592 is a wasteful number, since it uses less digits than its factorization.

3506798592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 3506798592 is about 59218.2285449337. The cubic root of 3506798592 is about 1519.2769229319.

The spelling of 3506798592 in words is "three billion, five hundred six million, seven hundred ninety-eight thousand, five hundred ninety-two".