34944420 has 192 divisors, whose sum is σ = 122572800. Its totient is φ = 7257600.

The previous prime is 34944389. The next prime is 34944457. The reversal of 34944420 is 2444943.

34944420 = T₁₉₅ + T₁₉₆ + ... + T₆₀₀.

It is a super-2 number, since 2×34944420² = 2442224978272800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 231345 + ... + 231495.

It is an arithmetic number, because the mean of its divisors is an integer number (638400).

Almost surely, 2^34944420 is an apocalyptic number.

34944420 is a gapful number since it is divisible by the number (30) 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 34944420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61286400).

34944420 is an abundant number, since it is smaller than the sum of its proper divisors (87628380).

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

34944420 is a wasteful number, since it uses less digits than its factorization.

34944420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34944420 is about 5911.3805494148. The cubic root of 34944420 is about 326.9333908413.

The spelling of 34944420 in words is "thirty-four million, nine hundred forty-four thousand, four hundred twenty".