34641620 has 72 divisors (see below), whose sum is σ = 81194904. Its totient is φ = 12400128.

The previous prime is 34641599. The next prime is 34641637. The reversal of 34641620 is 2614643.

It can be written as a sum of positive squares in 12 ways, for example, as 18011536 + 16630084 = 4244^2 + 4078^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 34641620.

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, 124922 + ... + 125198.

It is an arithmetic number, because the mean of its divisors is an integer number (1127707).

Almost surely, 2^34641620 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 34641620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40597452).

34641620 is an abundant number, since it is smaller than the sum of its proper divisors (46553284).

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

34641620 is a wasteful number, since it uses less digits than its factorization.

34641620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 34641620 is about 5885.7132108182. The cubic root of 34641620 is about 325.9863368883.

The spelling of 34641620 in words is "thirty-four million, six hundred forty-one thousand, six hundred twenty".