3414440000 has 70 divisors (see below), whose sum is σ = 8466800694. Its totient is φ = 1365760000.

The previous prime is 3414439993. The next prime is 3414440033. The reversal of 3414440000 is 444143.

It can be written as a sum of positive squares in 5 ways, for example, as 966961216 + 2447478784 = 31096^2 + 49472^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2681 + ... + 82680.

Almost surely, 2^3414440000 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 3414440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233400347).

3414440000 is an abundant number, since it is smaller than the sum of its proper divisors (5052360694).

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

3414440000 is an frugal number, since it uses more digits than its factorization.

3414440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85393 (or 85368 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3414440000 is about 58433.2097355605. The cubic root of 3414440000 is about 1505.8203494404.

Adding to 3414440000 its reverse (444143), we get a palindrome (3414884143).

The spelling of 3414440000 in words is "three billion, four hundred fourteen million, four hundred forty thousand".