3415940000 has 120 divisors (see below), whose sum is σ = 9168290208. Its totient is φ = 1242080000.

The previous prime is 3415939987. The next prime is 3415940107. The reversal of 3415940000 is 495143.

3415940000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212237 + ... + 227763.

Almost surely, 2^3415940000 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 3415940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584145104).

3415940000 is an abundant number, since it is smaller than the sum of its proper divisors (5752350208).

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

3415940000 is a wasteful number, since it uses less digits than its factorization.

3415940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15568 (or 15545 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 3415940000 is about 58446.0434931228. The cubic root of 3415940000 is about 1506.0408248179.

The spelling of 3415940000 in words is "three billion, four hundred fifteen million, nine hundred forty thousand".