3144762432 has 168 divisors, whose sum is σ = 10426817856. Its totient is φ = 887583744.

The previous prime is 3144762431. The next prime is 3144762449. The reversal of 3144762432 is 2342674413.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (3144762431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329958 + ... + 339354.

It is an arithmetic number, because the mean of its divisors is an integer number (62064392).

Almost surely, 2^3144762432 is an apocalyptic number.

3144762432 is a gapful number since it is divisible by the number (32) 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 3144762432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213408928).

3144762432 is an abundant number, since it is smaller than the sum of its proper divisors (7282055424).

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

3144762432 is a wasteful number, since it uses less digits than its factorization.

3144762432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9505 (or 9492 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 3144762432 is about 56078.1814255776. The cubic root of 3144762432 is about 1465.0842992956.

The spelling of 3144762432 in words is "three billion, one hundred forty-four million, seven hundred sixty-two thousand, four hundred thirty-two".