34368084 has 48 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 10781568.

The previous prime is 34368083. The next prime is 34368097. The reversal of 34368084 is 48086343.

34368084 = T₂₈₉ + T₂₉₀ + ... + T₆₁₂.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34368083) 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, 7524 + ... + 11195.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^34368084 is an apocalyptic number.

34368084 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34368084 is an abundant number, since it is smaller than the sum of its proper divisors (59980716).

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

34368084 is a wasteful number, since it uses less digits than its factorization.

34368084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18749 (or 18741 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34368084 is about 5862.4298716488. The cubic root of 34368084 is about 325.1260544553.

The spelling of 34368084 in words is "thirty-four million, three hundred sixty-eight thousand, eighty-four".