34926240 has 48 divisors (see below), whose sum is σ = 110019168. Its totient is φ = 9313536.

The previous prime is 34926223. The next prime is 34926247. The reversal of 34926240 is 4262943.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 34926198 and 34926207.

It is not an unprimeable number, because it can be changed into a prime (34926247) 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 7 ways as a sum of consecutive naturals, for example, 35902 + ... + 36861.

It is an arithmetic number, because the mean of its divisors is an integer number (2292066).

Almost surely, 2^34926240 is an apocalyptic number.

34926240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34926240 is an abundant number, since it is smaller than the sum of its proper divisors (75092928).

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

34926240 is a wasteful number, since it uses less digits than its factorization.

34926240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72781 (or 72773 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 34926240 is about 5909.8426374989. The cubic root of 34926240 is about 326.8766847913.

The spelling of 34926240 in words is "thirty-four million, nine hundred twenty-six thousand, two hundred forty".