3193152768 has 432 divisors, whose sum is σ = 10832872960. Its totient is φ = 895795200.

The previous prime is 3193152763. The next prime is 3193152779. The reversal of 3193152768 is 8672513913.

3193152768 is a `hidden beast` number, since 31 + 9 + 31 + 527 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3193152761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17641638 + ... + 17641818.

Almost surely, 2^3193152768 is an apocalyptic number.

3193152768 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 3193152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416436480).

3193152768 is an abundant number, since it is smaller than the sum of its proper divisors (7639720192).

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

3193152768 is a wasteful number, since it uses less digits than its factorization.

3193152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

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

The square root of 3193152768 is about 56507.9885325960. The cubic root of 3193152768 is about 1472.5607897937.

It can be divided in two parts, 3193 and 152768, that added together give a triangular number (155961 = T₅₅₈).

The spelling of 3193152768 in words is "three billion, one hundred ninety-three million, one hundred fifty-two thousand, seven hundred sixty-eight".