3135217440 has 48 divisors (see below), whose sum is σ = 9875936448. Its totient is φ = 836057856.

The previous prime is 3135217439. The next prime is 3135217447. The reversal of 3135217440 is 447125313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 3135217398 and 3135217407.

It is not an unprimeable number, because it can be changed into a prime (3135217447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3265372 + ... + 3266331.

It is an arithmetic number, because the mean of its divisors is an integer number (205748676).

Almost surely, 2^3135217440 is an apocalyptic number.

3135217440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3135217440 is an abundant number, since it is smaller than the sum of its proper divisors (6740719008).

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

3135217440 is a wasteful number, since it uses less digits than its factorization.

3135217440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531721 (or 6531713 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3135217440 is about 55993.0124211941. The cubic root of 3135217440 is about 1463.6005210625.

The spelling of 3135217440 in words is "three billion, one hundred thirty-five million, two hundred seventeen thousand, four hundred forty".