34065256032 has 72 divisors (see below), whose sum is σ = 96893780256. Its totient is φ = 11352658176.

The previous prime is 34065256003. The next prime is 34065256061. The reversal of 34065256032 is 23065256043.

34065256032 is a `hidden beast` number, since 3 + 4 + 0 + 65 + 2 + 560 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (34065256003) and next prime (34065256061).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1775193 + ... + 1794279.

It is an arithmetic number, because the mean of its divisors is an integer number (1345746948).

Almost surely, 2^34065256032 is an apocalyptic number.

34065256032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34065256032 is an abundant number, since it is smaller than the sum of its proper divisors (62828524224).

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

34065256032 is a wasteful number, since it uses less digits than its factorization.

34065256032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25300 (or 25289 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 34065256032 in words is "thirty-four billion, sixty-five million, two hundred fifty-six thousand, thirty-two".