34015965648 has 80 divisors (see below), whose sum is σ = 100494460800. Its totient is φ = 9712424448.

The previous prime is 34015965631. The next prime is 34015965649. The reversal of 34015965648 is 84656951043.

It is a super-3 number, since 3×34015965648³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34015965648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34015965649) 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, 487786 + ... + 553142.

It is an arithmetic number, because the mean of its divisors is an integer number (1256180760).

Almost surely, 2^34015965648 is an apocalyptic number.

It is an amenable number.

34015965648 is an abundant number, since it is smaller than the sum of its proper divisors (66478495152).

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

34015965648 is a wasteful number, since it uses less digits than its factorization.

34015965648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66924 (or 66918 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 34015965648 in words is "thirty-four billion, fifteen million, nine hundred sixty-five thousand, six hundred forty-eight".