3132826368 has 432 divisors, whose sum is σ = 10569605760. Its totient is φ = 818184192.

The previous prime is 3132826339. The next prime is 3132826369. The reversal of 3132826368 is 8636282313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (248832) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (3132826369) 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, 37744855 + ... + 37744937.

It is an arithmetic number, because the mean of its divisors is an integer number (24466680).

Almost surely, 2^3132826368 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 3132826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284802880).

3132826368 is an abundant number, since it is smaller than the sum of its proper divisors (7436779392).

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

3132826368 is a wasteful number, since it uses less digits than its factorization.

3132826368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 3132826368 is about 55971.6568273622. The cubic root of 3132826368 is about 1463.2283550359.

The spelling of 3132826368 in words is "three billion, one hundred thirty-two million, eight hundred twenty-six thousand, three hundred sixty-eight".