34366153680 has 60 divisors (see below), whose sum is σ = 115413001860. Its totient is φ = 9164307456.

The previous prime is 34366153663. The next prime is 34366153699. The reversal of 34366153680 is 8635166343.

34366153680 is a `hidden beast` number, since 3 + 4 + 36 + 6 + 1 + 536 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25246667664 + 9119486016 = 158892^2 + 95496^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23864665 + ... + 23866104.

It is an arithmetic number, because the mean of its divisors is an integer number (1923550031).

Almost surely, 2^34366153680 is an apocalyptic number.

34366153680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34366153680 is an abundant number, since it is smaller than the sum of its proper divisors (81046848180).

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

34366153680 is a wasteful number, since it uses less digits than its factorization.

34366153680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47730788 (or 47730779 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 34366153680 in words is "thirty-four billion, three hundred sixty-six million, one hundred fifty-three thousand, six hundred eighty".