3162242048 has 264 divisors, whose sum is σ = 8064852480. Its totient is φ = 1230888960.

The previous prime is 3162242047. The next prime is 3162242051. The reversal of 3162242048 is 8402422613.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3162242047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29553611 + ... + 29553717.

Almost surely, 2^3162242048 is an apocalyptic number.

3162242048 is a gapful number since it is divisible by the number (38) 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 3162242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032426240).

3162242048 is an abundant number, since it is smaller than the sum of its proper divisors (4902610432).

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

3162242048 is a wasteful number, since it uses less digits than its factorization.

3162242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 3162242048 is about 56233.8158762146. The cubic root of 3162242048 is about 1467.7937576999.

The spelling of 3162242048 in words is "three billion, one hundred sixty-two million, two hundred forty-two thousand, forty-eight".