34866432 has 108 divisors (see below), whose sum is σ = 103497940. Its totient is φ = 11280384.

The previous prime is 34866409. The next prime is 34866437. The reversal of 34866432 is 23466843.

It is a happy number.

34866432 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 3326976 = 5616^2 + 1824^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34866437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85044 + ... + 85452.

Almost surely, 2^34866432 is an apocalyptic number.

34866432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51748970).

34866432 is an abundant number, since it is smaller than the sum of its proper divisors (68631508).

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

34866432 is a wasteful number, since it uses less digits than its factorization.

34866432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 451 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34866432 is about 5904.7804362228. The cubic root of 34866432 is about 326.6899960200.

The spelling of 34866432 in words is "thirty-four million, eight hundred sixty-six thousand, four hundred thirty-two".