3153601968 has 80 divisors (see below), whose sum is σ = 8902704000. Its totient is φ = 953994240.

The previous prime is 3153601963. The next prime is 3153601993. The reversal of 3153601968 is 8691063513.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3153601963) 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 15 ways as a sum of consecutive naturals, for example, 322008 + ... + 331656.

It is an arithmetic number, because the mean of its divisors is an integer number (111283800).

Almost surely, 2^3153601968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3153601968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451352000).

3153601968 is an abundant number, since it is smaller than the sum of its proper divisors (5749102032).

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

3153601968 is a wasteful number, since it uses less digits than its factorization.

3153601968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10290 (or 10284 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 3153601968 is about 56156.9405149533. The cubic root of 3153601968 is about 1466.4557383537.

The spelling of 3153601968 in words is "three billion, one hundred fifty-three million, six hundred one thousand, nine hundred sixty-eight".