34382100 has 72 divisors (see below), whose sum is σ = 102715648. Its totient is φ = 8870400.

The previous prime is 34382099. The next prime is 34382113. The reversal of 34382100 is 128343.

It is a happy number.

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, 7452 + ... + 11148.

Almost surely, 2^34382100 is an apocalyptic number.

34382100 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 34382100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51357824).

34382100 is an abundant number, since it is smaller than the sum of its proper divisors (68333548).

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

34382100 is a wasteful number, since it uses less digits than its factorization.

34382100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34382100 is about 5863.6251585517. The cubic root of 34382100 is about 325.1702461094.

The spelling of 34382100 in words is "thirty-four million, three hundred eighty-two thousand, one hundred".