3140364480 has 448 divisors, whose sum is σ = 11503005696. Its totient is φ = 718848000.

The previous prime is 3140364463. The next prime is 3140364481. The reversal of 3140364480 is 844630413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3140364481) 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, 17349990 + ... + 17350170.

It is an arithmetic number, because the mean of its divisors is an integer number (25676352).

Almost surely, 2^3140364480 is an apocalyptic number.

3140364480 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 3140364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751502848).

3140364480 is an abundant number, since it is smaller than the sum of its proper divisors (8362641216).

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

3140364480 is a wasteful number, since it uses less digits than its factorization.

3140364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3140364480 is about 56038.9550223771. The cubic root of 3140364480 is about 1464.4010069340.

Adding to 3140364480 its reverse (844630413), we get a palindrome (3984994893).

The spelling of 3140364480 in words is "three billion, one hundred forty million, three hundred sixty-four thousand, four hundred eighty".