34529040 has 480 divisors, whose sum is σ = 155990016. Its totient is φ = 6635520.

The previous prime is 34529039. The next prime is 34529107. The reversal of 34529040 is 4092543.

It is a junction number, because it is equal to n+sod(n) for n = 34528995 and 34529013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1113825 + ... + 1113855.

Almost surely, 2^34529040 is an apocalyptic number.

34529040 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 34529040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

34529040 is an abundant number, since it is smaller than the sum of its proper divisors (121460976).

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

34529040 is a wasteful number, since it uses less digits than its factorization.

34529040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34529040 is about 5876.1415912144. The cubic root of 34529040 is about 325.6328183008.

The spelling of 34529040 in words is "thirty-four million, five hundred twenty-nine thousand, forty".