3014968320 has 528 divisors, whose sum is σ = 12875466240. Its totient is φ = 635240448.

The previous prime is 3014968303. The next prime is 3014968321. The reversal of 3014968320 is 238694103.

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 (3014968321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4192921 + ... + 4193639.

Almost surely, 2^3014968320 is an apocalyptic number.

3014968320 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 3014968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437733120).

3014968320 is an abundant number, since it is smaller than the sum of its proper divisors (9860497920).

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

3014968320 is a wasteful number, since it uses less digits than its factorization.

3014968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3014968320 is about 54908.7271751950. The cubic root of 3014968320 is about 1444.6442645499.

The spelling of 3014968320 in words is "three billion, fourteen million, nine hundred sixty-eight thousand, three hundred twenty".