34276164384 has 192 divisors, whose sum is σ = 112291909632. Its totient is φ = 8893747200.

The previous prime is 34276164383. The next prime is 34276164431. The reversal of 34276164384 is 48346167243.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (34276164383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10058809 + ... + 10062215.

It is an arithmetic number, because the mean of its divisors is an integer number (584853696).

Almost surely, 2^34276164384 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 34276164384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56145954816).

34276164384 is an abundant number, since it is smaller than the sum of its proper divisors (78015745248).

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

34276164384 is a wasteful number, since it uses less digits than its factorization.

34276164384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799 (or 4791 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The spelling of 34276164384 in words is "thirty-four billion, two hundred seventy-six million, one hundred sixty-four thousand, three hundred eighty-four".