34932975616 has 384 divisors, whose sum is σ = 93405312000. Its totient is φ = 12651724800.

The previous prime is 34932975607. The next prime is 34932975629. The reversal of 34932975616 is 61657923943.

It is a super-3 number, since 3×34932975616³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266663871 + ... + 266664001.

It is an arithmetic number, because the mean of its divisors is an integer number (243243000).

Almost surely, 2^34932975616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34932975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702656000).

34932975616 is an abundant number, since it is smaller than the sum of its proper divisors (58472336384).

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

34932975616 is a wasteful number, since it uses less digits than its factorization.

34932975616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 55.

The spelling of 34932975616 in words is "thirty-four billion, nine hundred thirty-two million, nine hundred seventy-five thousand, six hundred sixteen".