34628972 has 24 divisors (see below), whose sum is σ = 70237440. Its totient is φ = 14631120.

The previous prime is 34628927. The next prime is 34628977. The reversal of 34628972 is 27982643.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34628977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6722 + ... + 10697.

It is an arithmetic number, because the mean of its divisors is an integer number (2926560).

Almost surely, 2^34628972 is an apocalyptic number.

It is an amenable number.

34628972 is an abundant number, since it is smaller than the sum of its proper divisors (35608468).

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

34628972 is a wasteful number, since it uses less digits than its factorization.

34628972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17501 (or 17499 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 34628972 is about 5884.6386465101. The cubic root of 34628972 is about 325.9466584410.

The spelling of 34628972 in words is "thirty-four million, six hundred twenty-eight thousand, nine hundred seventy-two".