34672500 has 180 divisors, whose sum is σ = 115987872. Its totient is φ = 8712000.

The previous prime is 34672499. The next prime is 34672513. The reversal of 34672500 is 527643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 517467 + ... + 517533.

It is a vampire number, since it can be written as 4623 ⋅ 7500 (with its own digits).

Almost surely, 2^34672500 is an apocalyptic number.

34672500 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 34672500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57993936).

34672500 is an abundant number, since it is smaller than the sum of its proper divisors (81315372).

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

34672500 is a wasteful number, since it uses less digits than its factorization.

34672500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 34672500 is about 5888.3359279172. The cubic root of 34672500 is about 326.0831709705.

The spelling of 34672500 in words is "thirty-four million, six hundred seventy-two thousand, five hundred".