3001861408 has 96 divisors (see below), whose sum is σ = 7331917824. Its totient is φ = 1178053632.

The previous prime is 3001861391. The next prime is 3001861439. The reversal of 3001861408 is 8041681003.

It is a super-2 number, since 2×3001861408² = 18022343825679484928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3001861408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365766 + ... + 373882.

It is an arithmetic number, because the mean of its divisors is an integer number (76374144).

Almost surely, 2^3001861408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001861408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665958912).

3001861408 is an abundant number, since it is smaller than the sum of its proper divisors (4330056416).

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

3001861408 is a wasteful number, since it uses less digits than its factorization.

3001861408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 3001861408 is about 54789.2453680465. The cubic root of 3001861408 is about 1442.5477991784.

The spelling of 3001861408 in words is "three billion, one million, eight hundred sixty-one thousand, four hundred eight".