34512940 has 96 divisors (see below), whose sum is σ = 91897344. Its totient is φ = 10575360.

The previous prime is 34512937. The next prime is 34512943. The reversal of 34512940 is 4921543.

It is an interprime number because it is at equal distance from previous prime (34512937) and next prime (34512943).

It is a super-2 number, since 2×34512940² = 2382286054887200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34512899 and 34512908.

It is not an unprimeable number, because it can be changed into a prime (34512943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112267 + ... + 112573.

It is an arithmetic number, because the mean of its divisors is an integer number (957264).

Almost surely, 2^34512940 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 34512940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45948672).

34512940 is an abundant number, since it is smaller than the sum of its proper divisors (57384404).

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

34512940 is a wasteful number, since it uses less digits than its factorization.

34512940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 34512940 is about 5874.7714849175. The cubic root of 34512940 is about 325.5821990401.

The spelling of 34512940 in words is "thirty-four million, five hundred twelve thousand, nine hundred forty".