3135325440 has 288 divisors, whose sum is σ = 10874537856. Its totient is φ = 765296640.

The previous prime is 3135325433. The next prime is 3135325469. The reversal of 3135325440 is 445235313.

It is a super-2 number, since 2×3135325440² = 19660531229422387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3135325398 and 3135325407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9035347 + ... + 9035693.

It is an arithmetic number, because the mean of its divisors is an integer number (37758812).

Almost surely, 2^3135325440 is an apocalyptic number.

3135325440 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 3135325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437268928).

3135325440 is an abundant number, since it is smaller than the sum of its proper divisors (7739212416).

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

3135325440 is a wasteful number, since it uses less digits than its factorization.

3135325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3135325440 is about 55993.9768189401. The cubic root of 3135325440 is about 1463.6173265998.

The spelling of 3135325440 in words is "three billion, one hundred thirty-five million, three hundred twenty-five thousand, four hundred forty".