3120411840 has 448 divisors, whose sum is σ = 12731959296. Its totient is φ = 629342208.

The previous prime is 3120411793. The next prime is 3120411859. The reversal of 3120411840 is 481140213.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3120411840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2008504 + ... + 2010056.

It is an arithmetic number, because the mean of its divisors is an integer number (28419552).

Almost surely, 2^3120411840 is an apocalyptic number.

3120411840 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 3120411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365979648).

3120411840 is an abundant number, since it is smaller than the sum of its proper divisors (9611547456).

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

3120411840 is a wasteful number, since it uses less digits than its factorization.

3120411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3120411840 is about 55860.6466127989. The cubic root of 3120411840 is about 1461.2930060473.

It can be divided in two parts, 3120411 and 840, that added together give a triangular number (3121251 = T₂₄₉₈).

The spelling of 3120411840 in words is "three billion, one hundred twenty million, four hundred eleven thousand, eight hundred forty".