34904628 has 72 divisors (see below), whose sum is σ = 99505280. Its totient is φ = 10573200.

The previous prime is 34904609. The next prime is 34904651. The reversal of 34904628 is 82640943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34904592 and 34904601.

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, 11733 + ... + 14403.

Almost surely, 2^34904628 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 34904628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49752640).

34904628 is an abundant number, since it is smaller than the sum of its proper divisors (64600652).

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

34904628 is a wasteful number, since it uses less digits than its factorization.

34904628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34904628 is about 5908.0138794691. The cubic root of 34904628 is about 326.8092482303.

It can be divided in two parts, 3490 and 4628, that added together give a palindrome (8118).

The spelling of 34904628 in words is "thirty-four million, nine hundred four thousand, six hundred twenty-eight".