34629870 has 64 divisors (see below), whose sum is σ = 91653120. Its totient is φ = 8304000.

The previous prime is 34629869. The next prime is 34629899. The reversal of 34629870 is 7892643.

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 31 ways as a sum of consecutive naturals, for example, 32811 + ... + 33849.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 2^34629870 is an apocalyptic number.

34629870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34629870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45826560).

34629870 is an abundant number, since it is smaller than the sum of its proper divisors (57023250).

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

34629870 is a wasteful number, since it uses less digits than its factorization.

34629870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 34629870 is about 5884.7149463674. The cubic root of 34629870 is about 325.9494759043.

The spelling of 34629870 in words is "thirty-four million, six hundred twenty-nine thousand, eight hundred seventy".