3114479520 has 144 divisors (see below), whose sum is σ = 10654043400. Its totient is φ = 828506112.

The previous prime is 3114479513. The next prime is 3114479527. The reversal of 3114479520 is 259744113.

3114479520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3114479513) and next prime (3114479527).

It can be written as a sum of positive squares in 4 ways, for example, as 1983099024 + 1131380496 = 44532^2 + 33636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (3114479527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644152 + ... + 648968.

Almost surely, 2^3114479520 is an apocalyptic number.

3114479520 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 3114479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327021700).

3114479520 is an abundant number, since it is smaller than the sum of its proper divisors (7539563880).

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

3114479520 is a wasteful number, since it uses less digits than its factorization.

3114479520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5287 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3114479520 is about 55807.5220736416. The cubic root of 3114479520 is about 1460.3663808097.

The spelling of 3114479520 in words is "three billion, one hundred fourteen million, four hundred seventy-nine thousand, five hundred twenty".