34968640 has 112 divisors (see below), whose sum is σ = 96999552. Its totient is φ = 11759616.

The previous prime is 34968629. The next prime is 34968649. The reversal of 34968640 is 4686943.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34968593 and 34968602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34968649) 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, 149964 + ... + 150196.

Almost surely, 2^34968640 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 34968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48499776).

34968640 is an abundant number, since it is smaller than the sum of its proper divisors (62030912).

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

34968640 is a wasteful number, since it uses less digits than its factorization.

34968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 34968640 is about 5913.4287854002. The cubic root of 34968640 is about 327.0089059787.

The spelling of 34968640 in words is "thirty-four million, nine hundred sixty-eight thousand, six hundred forty".