34049620 has 96 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 11658240.

The previous prime is 34049611. The next prime is 34049641. The reversal of 34049620 is 2694043.

34049620 = T₁₄₇ + T₁₄₈ + ... + T₅₉₁.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 382536 + ... + 382624.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^34049620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34049620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

34049620 is an abundant number, since it is smaller than the sum of its proper divisors (48687020).

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

34049620 is a wasteful number, since it uses less digits than its factorization.

34049620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 34049620 is about 5835.2052234690. The cubic root of 34049620 is about 324.1187011091.

The spelling of 34049620 in words is "thirty-four million, forty-nine thousand, six hundred twenty".