34760628 has 72 divisors (see below), whose sum is σ = 100988160. Its totient is φ = 9875520.

The previous prime is 34760623. The next prime is 34760669. The reversal of 34760628 is 82606743.

34760628 is a `hidden beast` number, since 3 + 47 + 606 + 2 + 8 = 666.

It is a super-3 number, since 3×34760628³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 34760592 and 34760601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34760623) 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, 68038 + ... + 68546.

Almost surely, 2^34760628 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 34760628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50494080).

34760628 is an abundant number, since it is smaller than the sum of its proper divisors (66227532).

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

34760628 is a wasteful number, since it uses less digits than its factorization.

34760628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 34760628 is about 5895.8144475551. The cubic root of 34760628 is about 326.3592086062.

The spelling of 34760628 in words is "thirty-four million, seven hundred sixty thousand, six hundred twenty-eight".