34366777040 has 40 divisors (see below), whose sum is σ = 84602922120. Its totient is φ = 12938080256.

The previous prime is 34366777037. The next prime is 34366777061. The reversal of 34366777040 is 4077766343.

It can be written as a sum of positive squares in 4 ways, for example, as 350138944 + 34016638096 = 18712^2 + 184436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12633485 + ... + 12636204.

It is an arithmetic number, because the mean of its divisors is an integer number (2115073053).

Almost surely, 2^34366777040 is an apocalyptic number.

It is an amenable number.

34366777040 is an abundant number, since it is smaller than the sum of its proper divisors (50236145080).

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

34366777040 is a wasteful number, since it uses less digits than its factorization.

34366777040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25269719 (or 25269713 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 47.

The spelling of 34366777040 in words is "thirty-four billion, three hundred sixty-six million, seven hundred seventy-seven thousand, forty".