3311124480 has 300 divisors, whose sum is σ = 11894421000. Its totient is φ = 881197056.

The previous prime is 3311124473. The next prime is 3311124499. The reversal of 3311124480 is 844211133.

3311124480 is a `hidden beast` number, since 331 + 11 + 244 + 80 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6635271 + ... + 6635769.

It is an arithmetic number, because the mean of its divisors is an integer number (39648070).

Almost surely, 2^3311124480 is an apocalyptic number.

3311124480 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 3311124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947210500).

3311124480 is an abundant number, since it is smaller than the sum of its proper divisors (8583296520).

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

3311124480 is an frugal number, since it uses more digits than its factorization.

3311124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3311124480 is about 57542.3711711639. The cubic root of 3311124480 is about 1490.4766248422.

The spelling of 3311124480 in words is "three billion, three hundred eleven million, one hundred twenty-four thousand, four hundred eighty".