34786468080 has 720 divisors, whose sum is σ = 148499245440. Its totient is φ = 7232053248.

The previous prime is 34786468069. The next prime is 34786468103. The reversal of 34786468080 is 8086468743.

34786468080 is a `hidden beast` number, since 34 + 78 + 6 + 468 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×34786468080² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33480201 + ... + 33481239.

It is an arithmetic number, because the mean of its divisors is an integer number (206248952).

Almost surely, 2^34786468080 is an apocalyptic number.

34786468080 is a gapful number since it is divisible by the number (30) 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 34786468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74249622720).

34786468080 is an abundant number, since it is smaller than the sum of its proper divisors (113712777360).

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

34786468080 is a wasteful number, since it uses less digits than its factorization.

34786468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 34786468080 in words is "thirty-four billion, seven hundred eighty-six million, four hundred sixty-eight thousand, eighty".