34261438464 has 234 divisors, whose sum is σ = 108794319998. Its totient is φ = 10380902400.

The previous prime is 34261438459. The next prime is 34261438507. The reversal of 34261438464 is 46483416243.

34261438464 is a `hidden beast` number, since 3 + 4 + 261 + 4 + 384 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31473598464 + 2787840000 = 177408^2 + 52800^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4456704 + ... + 4464384.

Almost surely, 2^34261438464 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 34261438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54397159999).

34261438464 is an abundant number, since it is smaller than the sum of its proper divisors (74532881534).

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

34261438464 is a wasteful number, since it uses less digits than its factorization.

34261438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7733 (or 7697 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 34261438464 in words is "thirty-four billion, two hundred sixty-one million, four hundred thirty-eight thousand, four hundred sixty-four".