34400420 has 24 divisors (see below), whose sum is σ = 72353400. Its totient is φ = 13738752.

The previous prime is 34400411. The next prime is 34400449. The reversal of 34400420 is 2400443.

It can be written as a sum of positive squares in 4 ways, for example, as 11723776 + 22676644 = 3424^2 + 4762^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20576 + ... + 22184.

It is an arithmetic number, because the mean of its divisors is an integer number (3014725).

Almost surely, 2^34400420 is an apocalyptic number.

It is an amenable number.

34400420 is an abundant number, since it is smaller than the sum of its proper divisors (37952980).

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

34400420 is a wasteful number, since it uses less digits than its factorization.

34400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 34400420 is about 5865.1871240396. The cubic root of 34400420 is about 325.2279899273.

Adding to 34400420 its reverse (2400443), we get a palindrome (36800863).

It can be divided in two parts, 34400 and 420, that multiplied together give a triangular number (14448000 = T₅₃₇₅).

The spelling of 34400420 in words is "thirty-four million, four hundred thousand, four hundred twenty".