34002924 has 48 divisors (see below), whose sum is σ = 87671808. Its totient is φ = 10202368.

The previous prime is 34002923. The next prime is 34002929. The reversal of 34002924 is 42920043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34002894 and 34002903.

It is not an unprimeable number, because it can be changed into a prime (34002923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1069 + ... + 8315.

It is an arithmetic number, because the mean of its divisors is an integer number (1826496).

Almost surely, 2^34002924 is an apocalyptic number.

34002924 is a gapful number since it is divisible by the number (34) 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 34002924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43835904).

34002924 is an abundant number, since it is smaller than the sum of its proper divisors (53668884).

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

34002924 is a wasteful number, since it uses less digits than its factorization.

34002924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7294 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34002924 is about 5831.2026203863. The cubic root of 34002924 is about 323.9704667487.

Adding to 34002924 its reverse (42920043), we get a palindrome (76922967).

The spelling of 34002924 in words is "thirty-four million, two thousand, nine hundred twenty-four".