34950496 has 48 divisors (see below), whose sum is σ = 80783136. Its totient is φ = 14570496.

The previous prime is 34950467. The next prime is 34950497. The reversal of 34950496 is 69405943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34950497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6180 + ... + 10396.

It is an arithmetic number, because the mean of its divisors is an integer number (1682982).

Almost surely, 2^34950496 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 34950496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40391568).

34950496 is an abundant number, since it is smaller than the sum of its proper divisors (45832640).

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

34950496 is a wasteful number, since it uses less digits than its factorization.

34950496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 34950496 is about 5911.8944510199. The cubic root of 34950496 is about 326.9523383792.

The spelling of 34950496 in words is "thirty-four million, nine hundred fifty thousand, four hundred ninety-six".