3340406400 has 96 divisors (see below), whose sum is σ = 11002495200. Its totient is φ = 890772480.

The previous prime is 3340406393. The next prime is 3340406417. The reversal of 3340406400 is 46040433.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3340406400² = 22316629834321920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 164380 + ... + 183579.

It is an arithmetic number, because the mean of its divisors is an integer number (114609325).

Almost surely, 2^3340406400 is an apocalyptic number.

3340406400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3340406400 is an abundant number, since it is smaller than the sum of its proper divisors (7662088800).

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

3340406400 is a wasteful number, since it uses less digits than its factorization.

3340406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347986 (or 347969 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3340406400 is about 57796.2490132361. The cubic root of 3340406400 is about 1494.8574115601.

Adding to 3340406400 its reverse (46040433), we get a palindrome (3386446833).

The spelling of 3340406400 in words is "three billion, three hundred forty million, four hundred six thousand, four hundred".