3135300480 has 512 divisors, whose sum is σ = 12677212800. Its totient is φ = 725483520.

The previous prime is 3135300473. The next prime is 3135300491. The reversal of 3135300480 is 840035313.

It is a happy number.

3135300480 is a `hidden beast` number, since 313 + 5 + 300 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3818470 + ... + 3819290.

Almost surely, 2^3135300480 is an apocalyptic number.

3135300480 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 3135300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338606400).

3135300480 is an abundant number, since it is smaller than the sum of its proper divisors (9541912320).

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

3135300480 is a wasteful number, since it uses less digits than its factorization.

3135300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3135300480 is about 55993.7539373813. The cubic root of 3135300480 is about 1463.6134426877.

Adding to 3135300480 its reverse (840035313), we get a palindrome (3975335793).

The spelling of 3135300480 in words is "three billion, one hundred thirty-five million, three hundred thousand, four hundred eighty".