3111432480 has 384 divisors, whose sum is σ = 12421382400. Its totient is φ = 720617472.

The previous prime is 3111432451. The next prime is 3111432481. The reversal of 3111432480 is 842341113.

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

It is not an unprimeable number, because it can be changed into a prime (3111432481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 953091 + ... + 956349.

It is an arithmetic number, because the mean of its divisors is an integer number (32347350).

Almost surely, 2^3111432480 is an apocalyptic number.

3111432480 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 3111432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210691200).

3111432480 is an abundant number, since it is smaller than the sum of its proper divisors (9309949920).

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

3111432480 is a wasteful number, since it uses less digits than its factorization.

3111432480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3299 counting only the distinct ones).

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

The square root of 3111432480 is about 55780.2158475566. The cubic root of 3111432480 is about 1459.8899773224.

Adding to 3111432480 its reverse (842341113), we get a palindrome (3953773593).

The spelling of 3111432480 in words is "three billion, one hundred eleven million, four hundred thirty-two thousand, four hundred eighty".