3010829640 has 384 divisors, whose sum is σ = 11333468160. Its totient is φ = 626476032.

The previous prime is 3010829611. The next prime is 3010829641. The reversal of 3010829640 is 469280103.

It is a super-2 number, since 2×3010829640² = 18130190242205059200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3010829641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18028837 + ... + 18029003.

It is an arithmetic number, because the mean of its divisors is an integer number (29514240).

Almost surely, 2^3010829640 is an apocalyptic number.

3010829640 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 3010829640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666734080).

3010829640 is an abundant number, since it is smaller than the sum of its proper divisors (8322638520).

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

3010829640 is a wasteful number, since it uses less digits than its factorization.

3010829640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3010829640 is about 54871.0273277255. The cubic root of 3010829640 is about 1443.9829355237.

The spelling of 3010829640 in words is "three billion, ten million, eight hundred twenty-nine thousand, six hundred forty".