3215412000 has 144 divisors (see below), whose sum is σ = 11411624952. Its totient is φ = 857433600.

The previous prime is 3215411959. The next prime is 3215412007. The reversal of 3215412000 is 2145123.

It can be written as a sum of positive squares in 4 ways, for example, as 821854224 + 2393557776 = 28668^2 + 48924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3215412007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8659 + ... + 80658.

Almost surely, 2^3215412000 is an apocalyptic number.

3215412000 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 3215412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705812476).

3215412000 is an abundant number, since it is smaller than the sum of its proper divisors (8196212952).

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

3215412000 is a wasteful number, since it uses less digits than its factorization.

3215412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89348 (or 89327 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3215412000 is about 56704.6029877646. The cubic root of 3215412000 is about 1475.9745737793.

Adding to 3215412000 its reverse (2145123), we get a palindrome (3217557123).

The spelling of 3215412000 in words is "three billion, two hundred fifteen million, four hundred twelve thousand".