34695040 has 64 divisors (see below), whose sum is σ = 86585760. Its totient is φ = 13268992.

The previous prime is 34695029. The next prime is 34695091. The reversal of 34695040 is 4059643.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 34694993 and 34695011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13542 + ... + 15898.

Almost surely, 2^34695040 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 34695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43292880).

34695040 is an abundant number, since it is smaller than the sum of its proper divisors (51890720).

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

34695040 is a wasteful number, since it uses less digits than its factorization.

34695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 34695040 is about 5890.2495702644. The cubic root of 34695040 is about 326.1538160309.

The spelling of 34695040 in words is "thirty-four million, six hundred ninety-five thousand, forty".