3149082720 has 864 divisors, whose sum is σ = 13903239168. Its totient is φ = 634208256.

The previous prime is 3149082661. The next prime is 3149082731. The reversal of 3149082720 is 272809413.

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 143 ways as a sum of consecutive naturals, for example, 67001737 + ... + 67001783.

It is an arithmetic number, because the mean of its divisors is an integer number (16091712).

Almost surely, 2^3149082720 is an apocalyptic number.

3149082720 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 3149082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6951619584).

3149082720 is an abundant number, since it is smaller than the sum of its proper divisors (10754156448).

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

3149082720 is a wasteful number, since it uses less digits than its factorization.

3149082720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3149082720 is about 56116.6884268842. The cubic root of 3149082720 is about 1465.7549053087.

The spelling of 3149082720 in words is "three billion, one hundred forty-nine million, eighty-two thousand, seven hundred twenty".