34880640 has 128 divisors (see below), whose sum is σ = 114419520. Its totient is φ = 9031680.

The previous prime is 34880639. The next prime is 34880647. The reversal of 34880640 is 4608843.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (34880647) 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, 70795 + ... + 71285.

Almost surely, 2^34880640 is an apocalyptic number.

34880640 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 34880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57209760).

34880640 is an abundant number, since it is smaller than the sum of its proper divisors (79538880).

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

34880640 is a wasteful number, since it uses less digits than its factorization.

34880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 34880640 is about 5905.9834066817. The cubic root of 34880640 is about 326.7343651630.

The spelling of 34880640 in words is "thirty-four million, eight hundred eighty thousand, six hundred forty".