34403985 has 48 divisors (see below), whose sum is σ = 74355840. Its totient is φ = 14296320.

The previous prime is 34403983. The next prime is 34404001. The reversal of 34403985 is 58930443.

It is not a de Polignac number, because 34403985 - 2¹ = 34403983 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34403981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1500 + ... + 8429.

It is an arithmetic number, because the mean of its divisors is an integer number (1549080).

Almost surely, 2^34403985 is an apocalyptic number.

34403985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34403985 is an abundant number, since it is smaller than the sum of its proper divisors (39951855).

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

34403985 is a wasteful number, since it uses less digits than its factorization.

34403985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9958 (or 9955 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 34403985 is about 5865.4910280385. The cubic root of 34403985 is about 325.2392242644.

The spelling of 34403985 in words is "thirty-four million, four hundred three thousand, nine hundred eighty-five".