3506178960 has 480 divisors, whose sum is σ = 12898424448. Its totient is φ = 884183040.

The previous prime is 3506178953. The next prime is 3506178961. The reversal of 3506178960 is 698716053.

It is a happy number.

3506178960 is a `hidden beast` number, since 3 + 506 + 1 + 7 + 89 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3506178961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42243079 + ... + 42243161.

Almost surely, 2^3506178960 is an apocalyptic number.

3506178960 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 3506178960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449212224).

3506178960 is an abundant number, since it is smaller than the sum of its proper divisors (9392245488).

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

3506178960 is a wasteful number, since it uses less digits than its factorization.

3506178960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3506178960 is about 59212.9965463664. The cubic root of 3506178960 is about 1519.1874350390.

The spelling of 3506178960 in words is "three billion, five hundred six million, one hundred seventy-eight thousand, nine hundred sixty".