34039488 has 224 divisors, whose sum is σ = 114442240. Its totient is φ = 8709120.

The previous prime is 34039487. The next prime is 34039493. The reversal of 34039488 is 88493043.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (34039487) 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, 791595 + ... + 791637.

Almost surely, 2^34039488 is an apocalyptic number.

34039488 is a gapful number since it is divisible by the number (38) 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 34039488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57221120).

34039488 is an abundant number, since it is smaller than the sum of its proper divisors (80402752).

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

34039488 is a wasteful number, since it uses less digits than its factorization.

34039488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 34039488 is about 5834.3369803260. The cubic root of 34039488 is about 324.0865490473.

The spelling of 34039488 in words is "thirty-four million, thirty-nine thousand, four hundred eighty-eight".