3340344000 has 448 divisors, whose sum is σ = 12857195520. Its totient is φ = 748339200.

The previous prime is 3340343989. The next prime is 3340344019. The reversal of 3340344000 is 4430433.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3340344000² = 22315796076672000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9911832 + ... + 9912168.

Almost surely, 2^3340344000 is an apocalyptic number.

3340344000 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 3340344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428597760).

3340344000 is an abundant number, since it is smaller than the sum of its proper divisors (9516851520).

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

3340344000 is a wasteful number, since it uses less digits than its factorization.

3340344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3340344000 is about 57795.7091832949. The cubic root of 3340344000 is about 1494.8481033431.

Adding to 3340344000 its reverse (4430433), we get a palindrome (3344774433).

The spelling of 3340344000 in words is "three billion, three hundred forty million, three hundred forty-four thousand".