34773240 has 128 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 8633856.

The previous prime is 34773191. The next prime is 34773253. The reversal of 34773240 is 4237743.

It is a super-3 number, since 3×34773240³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34773198 and 34773207.

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, 118534 + ... + 118826.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 2^34773240 is an apocalyptic number.

34773240 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 34773240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

34773240 is an abundant number, since it is smaller than the sum of its proper divisors (76993800).

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

34773240 is a wasteful number, since it uses less digits than its factorization.

34773240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 34773240 is about 5896.8839228867. The cubic root of 34773240 is about 326.3986741824.

The spelling of 34773240 in words is "thirty-four million, seven hundred seventy-three thousand, two hundred forty".