29679342 has 64 divisors (see below), whose sum is σ = 74594304. Its totient is φ = 7647840.

The previous prime is 29679329. The next prime is 29679343. The reversal of 29679342 is 24397692.

It is a happy number.

It is a super-3 number, since 3×29679342³ (a number of 23 digits) contains 333 as substring.

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 = 29679294 and 29679303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29679343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104733 + ... + 105015.

It is an arithmetic number, because the mean of its divisors is an integer number (1165536).

Almost surely, 2^29679342 is an apocalyptic number.

29679342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29679342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37297152).

29679342 is an abundant number, since it is smaller than the sum of its proper divisors (44914962).

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

29679342 is a wasteful number, since it uses less digits than its factorization.

29679342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533.

The product of its digits is 163296, while the sum is 42.

The square root of 29679342 is about 5447.8749985660. The cubic root of 29679342 is about 309.6122171664.

It can be divided in two parts, 296793 and 42, that added together give a triangular number (296835 = T₇₇₀).

The spelling of 29679342 in words is "twenty-nine million, six hundred seventy-nine thousand, three hundred forty-two".