3001956672 has 224 divisors, whose sum is σ = 9634996224. Its totient is φ = 812390400.

The previous prime is 3001956653. The next prime is 3001956691. The reversal of 3001956672 is 2766591003.

It is an interprime number because it is at equal distance from previous prime (3001956653) and next prime (3001956691).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3001956672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849373 + ... + 852899.

It is an arithmetic number, because the mean of its divisors is an integer number (43013376).

Almost surely, 2^3001956672 is an apocalyptic number.

3001956672 is a gapful number since it is divisible by the number (32) 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 3001956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817498112).

3001956672 is an abundant number, since it is smaller than the sum of its proper divisors (6633039552).

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

3001956672 is a wasteful number, since it uses less digits than its factorization.

3001956672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 3001956672 is about 54790.1147288450. The cubic root of 3001956672 is about 1442.5630587570.

The spelling of 3001956672 in words is "three billion, one million, nine hundred fifty-six thousand, six hundred seventy-two".