34038432 has 36 divisors (see below), whose sum is σ = 96797610. Its totient is φ = 11346048.

The previous prime is 34038421. The next prime is 34038439. The reversal of 34038432 is 23483043.

It can be written as a sum of positive squares in only one way, i.e., 20466576 + 13571856 = 4524^2 + 3684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×34038432² = 2317229706037248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34038396 and 34038405.

It is not an unprimeable number, because it can be changed into a prime (34038439) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58807 + ... + 59382.

Almost surely, 2^34038432 is an apocalyptic number.

34038432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34038432 is an abundant number, since it is smaller than the sum of its proper divisors (62759178).

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

34038432 is a wasteful number, since it uses less digits than its factorization.

34038432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118205 (or 118194 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 34038432 is about 5834.2464809091. The cubic root of 34038432 is about 324.0831976559.

The spelling of 34038432 in words is "thirty-four million, thirty-eight thousand, four hundred thirty-two".