34829802 has 96 divisors (see below), whose sum is σ = 91812864. Its totient is φ = 9331200.

The previous prime is 34829801. The next prime is 34829803. The reversal of 34829802 is 20892843.

It is an interprime number because it is at equal distance from previous prime (34829801) and next prime (34829803).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34829801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144402 + ... + 144642.

It is an arithmetic number, because the mean of its divisors is an integer number (956384).

Almost surely, 2^34829802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34829802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45906432).

34829802 is an abundant number, since it is smaller than the sum of its proper divisors (56983062).

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

34829802 is a wasteful number, since it uses less digits than its factorization.

34829802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34829802 is about 5901.6778970052. The cubic root of 34829802 is about 326.5755511996.

The spelling of 34829802 in words is "thirty-four million, eight hundred twenty-nine thousand, eight hundred two".