3415242000 has 160 divisors (see below), whose sum is σ = 11167213824. Its totient is φ = 897792000.

The previous prime is 3415241989. The next prime is 3415242029. The reversal of 3415242000 is 2425143.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 421992 + ... + 430008.

Almost surely, 2^3415242000 is an apocalyptic number.

3415242000 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 3415242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583606912).

3415242000 is an abundant number, since it is smaller than the sum of its proper divisors (7751971824).

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

3415242000 is a wasteful number, since it uses less digits than its factorization.

3415242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8114 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3415242000 is about 58440.0718685390. The cubic root of 3415242000 is about 1505.9382383064.

Adding to 3415242000 its reverse (2425143), we get a palindrome (3417667143).

The spelling of 3415242000 in words is "three billion, four hundred fifteen million, two hundred forty-two thousand".