34284672 has 48 divisors (see below), whose sum is σ = 98661030. Its totient is φ = 11427840.

The previous prime is 34284659. The next prime is 34284703. The reversal of 34284672 is 27648243.

It can be written as a sum of positive squares in only one way, i.e., 32901696 + 1382976 = 5736^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13729 + ... + 16032.

Almost surely, 2^34284672 is an apocalyptic number.

34284672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34284672 is an abundant number, since it is smaller than the sum of its proper divisors (64376358).

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

34284672 is a wasteful number, since it uses less digits than its factorization.

34284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29781 (or 29766 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 34284672 is about 5855.3114349281. The cubic root of 34284672 is about 324.8628123160.

It can be divided in two parts, 3428 and 4672, that added together give a square (8100 = 90²).

The spelling of 34284672 in words is "thirty-four million, two hundred eighty-four thousand, six hundred seventy-two".