34953012 has 48 divisors (see below), whose sum is σ = 93078720. Its totient is φ = 11334816.

The previous prime is 34953011. The next prime is 34953013. The reversal of 34953012 is 21035943.

It is an interprime number because it is at equal distance from previous prime (34953011) and next prime (34953013).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34953011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378 + ... + 8369.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 2^34953012 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 34953012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46539360).

34953012 is an abundant number, since it is smaller than the sum of its proper divisors (58125708).

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

34953012 is a wasteful number, since it uses less digits than its factorization.

34953012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8797 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34953012 is about 5912.1072385402. The cubic root of 34953012 is about 326.9601836884.

Adding to 34953012 its reverse (21035943), we get a palindrome (55988955).

It can be divided in two parts, 349 and 53012, that added together give a square (53361 = 231²).

The spelling of 34953012 in words is "thirty-four million, nine hundred fifty-three thousand, twelve".