3415412000 has 384 divisors, whose sum is σ = 11280342528. Its totient is φ = 981504000.

The previous prime is 3415411981. The next prime is 3415412003. The reversal of 3415412000 is 2145143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3415412003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4003574 + ... + 4004426.

It is an arithmetic number, because the mean of its divisors is an integer number (29375892).

Almost surely, 2^3415412000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640171264).

3415412000 is an abundant number, since it is smaller than the sum of its proper divisors (7864930528).

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

3415412000 is a wasteful number, since it uses less digits than its factorization.

3415412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3415412000 is about 58441.5263318815. The cubic root of 3415412000 is about 1505.9632248474.

Adding to 3415412000 its reverse (2145143), we get a palindrome (3417557143).

The spelling of 3415412000 in words is "three billion, four hundred fifteen million, four hundred twelve thousand".