3120429312 has 864 divisors, whose sum is σ = 12787918080. Its totient is φ = 729907200.

The previous prime is 3120429307. The next prime is 3120429313. The reversal of 3120429312 is 2139240213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120429313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76108012 + ... + 76108052.

Almost surely, 2^3120429312 is an apocalyptic number.

3120429312 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 3120429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393959040).

3120429312 is an abundant number, since it is smaller than the sum of its proper divisors (9667488768).

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

3120429312 is a wasteful number, since it uses less digits than its factorization.

3120429312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3120429312 is about 55860.8030017471. The cubic root of 3120429312 is about 1461.2957334291.

Adding to 3120429312 its reverse (2139240213), we get a palindrome (5259669525).

It can be divided in two parts, 31204 and 29312, that added together give a square (60516 = 246²).

The spelling of 3120429312 in words is "three billion, one hundred twenty million, four hundred twenty-nine thousand, three hundred twelve".