34629480 has 192 divisors, whose sum is σ = 121305600. Its totient is φ = 8547840.

The previous prime is 34629479. The next prime is 34629503. The reversal of 34629480 is 8492643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323587 + ... + 323693.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 2^34629480 is an apocalyptic number.

34629480 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 34629480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652800).

34629480 is an abundant number, since it is smaller than the sum of its proper divisors (86676120).

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

34629480 is a wasteful number, since it uses less digits than its factorization.

34629480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34629480 is about 5884.6818095799. The cubic root of 34629480 is about 325.9482522903.

The spelling of 34629480 in words is "thirty-four million, six hundred twenty-nine thousand, four hundred eighty".