34432740 has 72 divisors (see below), whose sum is σ = 105022008. Its totient is φ = 9131520.

The previous prime is 34432733. The next prime is 34432753. The reversal of 34432740 is 4723443.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 34363044 = 264^2 + 5862^2 .

It is a super-2 number, since 2×34432740² = 2371227167815200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41530 + ... + 42350.

It is an arithmetic number, because the mean of its divisors is an integer number (1458639).

Almost surely, 2^34432740 is an apocalyptic number.

34432740 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 34432740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52511004).

34432740 is an abundant number, since it is smaller than the sum of its proper divisors (70589268).

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

34432740 is a wasteful number, since it uses less digits than its factorization.

34432740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 34432740 is about 5867.9417175020. The cubic root of 34432740 is about 325.3298111499.

The spelling of 34432740 in words is "thirty-four million, four hundred thirty-two thousand, seven hundred forty".