34629248 has 64 divisors (see below), whose sum is σ = 75276000. Its totient is φ = 15805440.

The previous prime is 34629223. The next prime is 34629253. The reversal of 34629248 is 84292643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70283 + ... + 70773.

Almost surely, 2^34629248 is an apocalyptic number.

34629248 is a gapful number since it is divisible by the number (38) 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 34629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37638000).

34629248 is an abundant number, since it is smaller than the sum of its proper divisors (40646752).

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

34629248 is a wasteful number, since it uses less digits than its factorization.

34629248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 34629248 is about 5884.6620973510. The cubic root of 34629248 is about 325.9475243926.

The spelling of 34629248 in words is "thirty-four million, six hundred twenty-nine thousand, two hundred forty-eight".