3312429120 has 896 divisors, whose sum is σ = 15730606080. Its totient is φ = 633692160.

The previous prime is 3312429119. The next prime is 3312429121. The reversal of 3312429120 is 219242133.

It is a happy number.

3312429120 is a `hidden beast` number, since 331 + 24 + 291 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3312429119) and next prime (3312429121).

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 (3312429121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8648449 + ... + 8648831.

It is an arithmetic number, because the mean of its divisors is an integer number (17556480).

Almost surely, 2^3312429120 is an apocalyptic number.

3312429120 is a gapful number since it is divisible by the number (30) 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 3312429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865303040).

3312429120 is an abundant number, since it is smaller than the sum of its proper divisors (12418176960).

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

3312429120 is a wasteful number, since it uses less digits than its factorization.

3312429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

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

The square root of 3312429120 is about 57553.7063967213. The cubic root of 3312429120 is about 1490.6723569465.

The spelling of 3312429120 in words is "three billion, three hundred twelve million, four hundred twenty-nine thousand, one hundred twenty".