3115351456 has 96 divisors (see below), whose sum is σ = 7622802432. Its totient is φ = 1222594560.

The previous prime is 3115351429. The next prime is 3115351457. The reversal of 3115351456 is 6541535113.

3115351456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3115351456³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (3115351457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129841 + ... + 151951.

It is an arithmetic number, because the mean of its divisors is an integer number (79404192).

Almost surely, 2^3115351456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3115351456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811401216).

3115351456 is an abundant number, since it is smaller than the sum of its proper divisors (4507450976).

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

3115351456 is a wasteful number, since it uses less digits than its factorization.

3115351456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22182 (or 22174 counting only the distinct ones).

The product of its digits is 27000, while the sum is 34.

The square root of 3115351456 is about 55815.3335204583. Note that the first 3 decimals coincide. The cubic root of 3115351456 is about 1460.5026504712.

Adding to 3115351456 its reverse (6541535113), we get a palindrome (9656886569).

The spelling of 3115351456 in words is "three billion, one hundred fifteen million, three hundred fifty-one thousand, four hundred fifty-six".