34133211264 has 64 divisors (see below), whose sum is σ = 90773504640. Its totient is φ = 11364289536.

The previous prime is 34133211263. The next prime is 34133211311. The reversal of 34133211264 is 46211233143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34133211264² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34133211263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275449 + ... + 379655.

It is an arithmetic number, because the mean of its divisors is an integer number (1418336010).

Almost surely, 2^34133211264 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 34133211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45386752320).

34133211264 is an abundant number, since it is smaller than the sum of its proper divisors (56640293376).

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

34133211264 is a wasteful number, since it uses less digits than its factorization.

34133211264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105077 (or 105065 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The spelling of 34133211264 in words is "thirty-four billion, one hundred thirty-three million, two hundred eleven thousand, two hundred sixty-four".