3411113472 has 560 divisors, whose sum is σ = 11896998960. Its totient is φ = 967458816.

The previous prime is 3411113467. The next prime is 3411113527. The reversal of 3411113472 is 2743111143.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 92192238 + ... + 92192274.

It is an arithmetic number, because the mean of its divisors is an integer number (21244641).

Almost surely, 2^3411113472 is an apocalyptic number.

3411113472 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 3411113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948499480).

3411113472 is an abundant number, since it is smaller than the sum of its proper divisors (8485885488).

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

3411113472 is an equidigital number, since it uses as much as digits as its factorization.

3411113472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 3411113472 is about 58404.7384379042. The cubic root of 3411113472 is about 1505.3311739423.

It can be divided in two parts, 3 and 411113472, that added together give a triangular number (411113475 = T₂₈₆₇₄).

The spelling of 3411113472 in words is "three billion, four hundred eleven million, one hundred thirteen thousand, four hundred seventy-two".