3001849956 has 288 divisors, whose sum is σ = 9422784000. Its totient is φ = 833789376.

The previous prime is 3001849937. The next prime is 3001849993. The reversal of 3001849956 is 6599481003.

It is a happy number.

It is a super-2 number, since 2×3001849956² = 18022206316674403872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20146570 + ... + 20146718.

It is an arithmetic number, because the mean of its divisors is an integer number (32718000).

Almost surely, 2^3001849956 is an apocalyptic number.

3001849956 is a gapful number since it is divisible by the number (36) 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 3001849956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711392000).

3001849956 is an abundant number, since it is smaller than the sum of its proper divisors (6420934044).

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

3001849956 is a wasteful number, since it uses less digits than its factorization.

3001849956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3001849956 is about 54789.1408583854. The cubic root of 3001849956 is about 1442.5459647524.

The spelling of 3001849956 in words is "three billion, one million, eight hundred forty-nine thousand, nine hundred fifty-six".