34345620 has 144 divisors (see below), whose sum is σ = 111541248. Its totient is φ = 8864640.

The previous prime is 34345603. The next prime is 34345621. The reversal of 34345620 is 2654343.

34345620 = T₁₃₄₄ + T₁₃₄₅ + ... + T₁₃₈₀.

34345620 is a `hidden beast` number, since 3 + 4 + 34 + 5 + 620 = 666.

It is a super-2 number, since 2×34345620² = 2359243226368800, which contains 22 as substring.

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 (34345621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179725 + ... + 179915.

It is an arithmetic number, because the mean of its divisors is an integer number (774592).

Almost surely, 2^34345620 is an apocalyptic number.

34345620 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 34345620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55770624).

34345620 is an abundant number, since it is smaller than the sum of its proper divisors (77195628).

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

34345620 is a wasteful number, since it uses less digits than its factorization.

34345620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34345620 is about 5860.5136293673. The cubic root of 34345620 is about 325.0552016688.

Adding to 34345620 its reverse (2654343), we get a palindrome (36999963).

The spelling of 34345620 in words is "thirty-four million, three hundred forty-five thousand, six hundred twenty".