3506360352 has 192 divisors, whose sum is σ = 10557195264. Its totient is φ = 1009290240.

The previous prime is 3506360321. The next prime is 3506360353. The reversal of 3506360352 is 2530636053.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3506360353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1679053 + ... + 1681139.

It is an arithmetic number, because the mean of its divisors is an integer number (54985392).

Almost surely, 2^3506360352 is an apocalyptic number.

3506360352 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 3506360352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278597632).

3506360352 is an abundant number, since it is smaller than the sum of its proper divisors (7050834912).

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

3506360352 is a wasteful number, since it uses less digits than its factorization.

3506360352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 33.

The square root of 3506360352 is about 59214.5282173218. The cubic root of 3506360352 is about 1519.2136329502.

The spelling of 3506360352 in words is "three billion, five hundred six million, three hundred sixty thousand, three hundred fifty-two".