3340340400 has 120 divisors (see below), whose sum is σ = 10713827664. Its totient is φ = 889625600.

The previous prime is 3340340389. The next prime is 3340340461. The reversal of 3340340400 is 40430433.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3340340400² = 22315747975744320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1416022 + ... + 1418378.

Almost surely, 2^3340340400 is an apocalyptic number.

3340340400 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 3340340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356913832).

3340340400 is an abundant number, since it is smaller than the sum of its proper divisors (7373487264).

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

3340340400 is a wasteful number, since it uses less digits than its factorization.

3340340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3548 counting only the distinct ones).

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

The square root of 3340340400 is about 57795.6780391060. The cubic root of 3340340400 is about 1494.8475663270.

Adding to 3340340400 its reverse (40430433), we get a palindrome (3380770833).

The spelling of 3340340400 in words is "three billion, three hundred forty million, three hundred forty thousand, four hundred".