34562640 has 120 divisors (see below), whose sum is σ = 124679520. Its totient is φ = 7897344.

The previous prime is 34562623. The next prime is 34562651. The reversal of 34562640 is 4626543.

It is a Cunningham number, because it is equal to 5879²-1.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34562598 and 34562607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10291 + ... + 13229.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 2^34562640 is an apocalyptic number.

34562640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34562640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760).

34562640 is an abundant number, since it is smaller than the sum of its proper divisors (90116880).

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

34562640 is a wasteful number, since it uses less digits than its factorization.

34562640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 34562640 is about 5878.9999149515. Note that the first 4 decimals coincide. The cubic root of 34562640 is about 325.7384078340.

The spelling of 34562640 in words is "thirty-four million, five hundred sixty-two thousand, six hundred forty".