3115949040 has 160 divisors (see below), whose sum is σ = 11364183360. Its totient is φ = 782032896.

The previous prime is 3115949027. The next prime is 3115949059. The reversal of 3115949040 is 409495113.

It is a happy number.

It is a super-3 number, since 3×3115949040³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3115948986 and 3115949004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5709 + ... + 79148.

It is an arithmetic number, because the mean of its divisors is an integer number (71026146).

Almost surely, 2^3115949040 is an apocalyptic number.

3115949040 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 3115949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682091680).

3115949040 is an abundant number, since it is smaller than the sum of its proper divisors (8248234320).

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

3115949040 is a wasteful number, since it uses less digits than its factorization.

3115949040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84896 (or 84884 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3115949040 is about 55820.6864880754. The cubic root of 3115949040 is about 1460.5960286159.

The spelling of 3115949040 in words is "three billion, one hundred fifteen million, nine hundred forty-nine thousand, forty".