3400433040 has 80 divisors (see below), whose sum is σ = 11096164800. Its totient is φ = 859055616.

The previous prime is 3400433009. The next prime is 3400433119. The reversal of 3400433040 is 403340043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3400432998 and 3400433016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368295 + ... + 377414.

It is an arithmetic number, because the mean of its divisors is an integer number (138702060).

Almost surely, 2^3400433040 is an apocalyptic number.

3400433040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3400433040 is an abundant number, since it is smaller than the sum of its proper divisors (7695731760).

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

3400433040 is a wasteful number, since it uses less digits than its factorization.

3400433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745744 (or 745738 counting only the distinct ones).

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

The square root of 3400433040 is about 58313.2321175906. The cubic root of 3400433040 is about 1503.7584327015.

Adding to 3400433040 its reverse (403340043), we get a palindrome (3803773083).

The spelling of 3400433040 in words is "three billion, four hundred million, four hundred thirty-three thousand, forty".