34211628 has 72 divisors (see below), whose sum is σ = 99328320. Its totient is φ = 9819360.

The previous prime is 34211627. The next prime is 34211651. The reversal of 34211628 is 82611243.

34211628 is a `hidden beast` number, since 34 + 2 + 1 + 1 + 628 = 666.

It is not an unprimeable number, because it can be changed into a prime (34211621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5251 + ... + 9797.

It is an arithmetic number, because the mean of its divisors is an integer number (1379560).

Almost surely, 2^34211628 is an apocalyptic number.

34211628 is a gapful number since it is divisible by the number (38) 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 34211628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49664160).

34211628 is an abundant number, since it is smaller than the sum of its proper divisors (65116692).

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

34211628 is a wasteful number, since it uses less digits than its factorization.

34211628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587 (or 4582 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 34211628 is about 5849.0706954182. The cubic root of 34211628 is about 324.6319399396.

The spelling of 34211628 in words is "thirty-four million, two hundred eleven thousand, six hundred twenty-eight".