34661844 has 240 divisors, whose sum is σ = 117089280. Its totient is φ = 8709120.

The previous prime is 34661839. The next prime is 34661849. The reversal of 34661844 is 44816643.

34661844 is a `hidden beast` number, since 34 + 6 + 618 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34661839) and next prime (34661849).

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

It is a junction number, because it is equal to n+sod(n) for n = 34661799 and 34661808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34661849) 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 79 ways as a sum of consecutive naturals, for example, 1118109 + ... + 1118139.

It is an arithmetic number, because the mean of its divisors is an integer number (487872).

Almost surely, 2^34661844 is an apocalyptic number.

34661844 is a gapful number since it is divisible by the number (34) 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 34661844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544640).

34661844 is an abundant number, since it is smaller than the sum of its proper divisors (82427436).

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

34661844 is a wasteful number, since it uses less digits than its factorization.

34661844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 34661844 is about 5887.4310187042. The cubic root of 34661844 is about 326.0497621855.

The spelling of 34661844 in words is "thirty-four million, six hundred sixty-one thousand, eight hundred forty-four".