3162045600 has 360 divisors, whose sum is σ = 13180593888. Its totient is φ = 722649600.

The previous prime is 3162045533. The next prime is 3162045617. The reversal of 3162045600 is 65402613.

3162045600 is a `hidden beast` number, since 3 + 16 + 2 + 0 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 450115 + ... + 457085.

Almost surely, 2^3162045600 is an apocalyptic number.

3162045600 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 3162045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590296944).

3162045600 is an abundant number, since it is smaller than the sum of its proper divisors (10018548288).

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

3162045600 is a wasteful number, since it uses less digits than its factorization.

3162045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3162045600 is about 56232.0691420830. The cubic root of 3162045600 is about 1467.7633624809.

The spelling of 3162045600 in words is "three billion, one hundred sixty-two million, forty-five thousand, six hundred".