34255067616 has 384 divisors, whose sum is σ = 125798400000. Its totient is φ = 8809274880.

The previous prime is 34255067603. The next prime is 34255067617. The reversal of 34255067616 is 61676055243.

34255067616 is a `hidden beast` number, since 3 + 4 + 25 + 5 + 0 + 6 + 7 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34255067617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6849885 + ... + 6854883.

It is an arithmetic number, because the mean of its divisors is an integer number (327600000).

Almost surely, 2^34255067616 is an apocalyptic number.

34255067616 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 34255067616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200000).

34255067616 is an abundant number, since it is smaller than the sum of its proper divisors (91543332384).

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

34255067616 is a wasteful number, since it uses less digits than its factorization.

34255067616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 34255067616 in words is "thirty-four billion, two hundred fifty-five million, sixty-seven thousand, six hundred sixteen".