34038815616 has 192 divisors, whose sum is σ = 105675570000. Its totient is φ = 10454556672.

The previous prime is 34038815563. The next prime is 34038815639. The reversal of 34038815616 is 61651883043.

34038815616 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 8 + 81 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9867460 + ... + 9870908.

Almost surely, 2^34038815616 is an apocalyptic number.

34038815616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34038815616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52837785000).

34038815616 is an abundant number, since it is smaller than the sum of its proper divisors (71636754384).

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

34038815616 is a wasteful number, since it uses less digits than its factorization.

34038815616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 34038815616 in words is "thirty-four billion, thirty-eight million, eight hundred fifteen thousand, six hundred sixteen".