3506196960 has 864 divisors, whose sum is σ = 15326962560. Its totient is φ = 724598784.

The previous prime is 3506196931. The next prime is 3506196983. The reversal of 3506196960 is 696916053.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44382201 + ... + 44382279.

It is an arithmetic number, because the mean of its divisors is an integer number (17739540).

Almost surely, 2^3506196960 is an apocalyptic number.

3506196960 is a gapful number since it is divisible by the number (30) 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 3506196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663481280).

3506196960 is an abundant number, since it is smaller than the sum of its proper divisors (11820765600).

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

3506196960 is a wasteful number, since it uses less digits than its factorization.

3506196960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 3506196960 is about 59213.1485398302. The cubic root of 3506196960 is about 1519.1900347663.

The spelling of 3506196960 in words is "three billion, five hundred six million, one hundred ninety-six thousand, nine hundred sixty".