34400421 has 36 divisors (see below), whose sum is σ = 56434560. Its totient is φ = 20156400.

The previous prime is 34400411. The next prime is 34400449. The reversal of 34400421 is 12400443.

34400421 = 250² + 251² + ... + 491².

It is not a de Polignac number, because 34400421 - 2⁵ = 34400389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34400394 and 34400403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400411) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 33250 + ... + 34268.

Almost surely, 2^34400421 is an apocalyptic number.

34400421 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34400421 is a deficient number, since it is larger than the sum of its proper divisors (22034139).

34400421 is a wasteful number, since it uses less digits than its factorization.

34400421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34400421 is about 5865.1872092884. The cubic root of 34400421 is about 325.2279930787.

Adding to 34400421 its reverse (12400443), we get a palindrome (46800864).

The spelling of 34400421 in words is "thirty-four million, four hundred thousand, four hundred twenty-one".