3411124080 has 320 divisors, whose sum is σ = 13082496000. Its totient is φ = 715972608.

The previous prime is 3411124063. The next prime is 3411124097. The reversal of 3411124080 is 804211143.

It is an interprime number because it is at equal distance from previous prime (3411124063) and next prime (3411124097).

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 3411124080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6835671 + ... + 6836169.

It is an arithmetic number, because the mean of its divisors is an integer number (40882800).

Almost surely, 2^3411124080 is an apocalyptic number.

3411124080 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 3411124080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541248000).

3411124080 is an abundant number, since it is smaller than the sum of its proper divisors (9671371920).

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

3411124080 is a wasteful number, since it uses less digits than its factorization.

3411124080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

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

The square root of 3411124080 is about 58404.8292523829. The cubic root of 3411124080 is about 1505.3327343845.

The spelling of 3411124080 in words is "three billion, four hundred eleven million, one hundred twenty-four thousand, eighty".