29648346 has 48 divisors (see below), whose sum is σ = 73399104. Its totient is φ = 7817472.

The previous prime is 29648317. The next prime is 29648363. The reversal of 29648346 is 64384692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 29648298 and 29648307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5010 + ... + 9186.

It is an arithmetic number, because the mean of its divisors is an integer number (1529148).

Almost surely, 2^29648346 is an apocalyptic number.

29648346 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29648346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36699552).

29648346 is an abundant number, since it is smaller than the sum of its proper divisors (43750758).

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

29648346 is a wasteful number, since it uses less digits than its factorization.

29648346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4202 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 29648346 is about 5445.0294765042. The cubic root of 29648346 is about 309.5043971317.

The spelling of 29648346 in words is "twenty-nine million, six hundred forty-eight thousand, three hundred forty-six".