34775040 has 112 divisors (see below), whose sum is σ = 111666528. Its totient is φ = 9240576.

The previous prime is 34775023. The next prime is 34775053. The reversal of 34775040 is 4057743.

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 = 34774989 and 34775007.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 122739 + ... + 123021.

Almost surely, 2^34775040 is an apocalyptic number.

34775040 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 34775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55833264).

34775040 is an abundant number, since it is smaller than the sum of its proper divisors (76891488).

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

34775040 is an equidigital number, since it uses as much as digits as its factorization.

34775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 34775040 is about 5897.0365438922. The cubic root of 34775040 is about 326.4043059793.

The spelling of 34775040 in words is "thirty-four million, seven hundred seventy-five thousand, forty".