3082129920 has 640 divisors, whose sum is σ = 12056014080. Its totient is φ = 743178240.

The previous prime is 3082129909. The next prime is 3082129987. The reversal of 3082129920 is 299212803.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50526690 + ... + 50526750.

It is an arithmetic number, because the mean of its divisors is an integer number (18837522).

Almost surely, 2^3082129920 is an apocalyptic number.

3082129920 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 3082129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028007040).

3082129920 is an abundant number, since it is smaller than the sum of its proper divisors (8973884160).

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

3082129920 is a wasteful number, since it uses less digits than its factorization.

3082129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3082129920 is about 55516.9336329016. The cubic root of 3082129920 is about 1455.2925758754.

The spelling of 3082129920 in words is "three billion, eighty-two million, one hundred twenty-nine thousand, nine hundred twenty".