34645020 has 48 divisors (see below), whose sum is σ = 97983648. Its totient is φ = 9145600.

The previous prime is 34645019. The next prime is 34645021. The reversal of 34645020 is 2054643.

It is an interprime number because it is at equal distance from previous prime (34645019) and next prime (34645021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34645021) 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, 3202 + ... + 8918.

It is an arithmetic number, because the mean of its divisors is an integer number (2041326).

Almost surely, 2^34645020 is an apocalyptic number.

34645020 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 34645020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48991824).

34645020 is an abundant number, since it is smaller than the sum of its proper divisors (63338628).

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

34645020 is a wasteful number, since it uses less digits than its factorization.

34645020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34645020 is about 5886.0020387356. The cubic root of 34645020 is about 325.9970014905.

Subtracting from 34645020 its sum of digits (24), we obtain a square (34644996 = 5886²).

Adding to 34645020 its reverse (2054643), we get a palindrome (36699663).

The spelling of 34645020 in words is "thirty-four million, six hundred forty-five thousand, twenty".