34956540 has 36 divisors (see below), whose sum is σ = 106035384. Its totient is φ = 9321696.

The previous prime is 34956517. The next prime is 34956547. The reversal of 34956540 is 4565943.

It is a happy number.

34956540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34956495 and 34956504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34956547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96922 + ... + 97281.

Almost surely, 2^34956540 is an apocalyptic number.

34956540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34956540 is an abundant number, since it is smaller than the sum of its proper divisors (71078844).

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

34956540 is a wasteful number, since it uses less digits than its factorization.

34956540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194218 (or 194213 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 34956540 is about 5912.4056017834. The cubic root of 34956540 is about 326.9711839490.

The spelling of 34956540 in words is "thirty-four million, nine hundred fifty-six thousand, five hundred forty".