34772279212944 has 1920 divisors, whose sum is σ = 134840769638400. Its totient is φ = 8330895360000.

The previous prime is 34772279212943. The next prime is 34772279212999. The reversal of 34772279212944 is 44921297227743.

It is a happy number.

34772279212944 is a `hidden beast` number, since 3 + 4 + 7 + 72 + 279 + 2 + 1 + 294 + 4 = 666.

It is a super-2 number, since 2×34772279212944² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (34772279212943) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 138534976819 + ... + 138534977069.

It is an arithmetic number, because the mean of its divisors is an integer number (70229567520).

Almost surely, 2^{34772279212944} 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 34772279212944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67420384819200).

34772279212944 is an abundant number, since it is smaller than the sum of its proper divisors (100068490425456).

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

34772279212944 is a wasteful number, since it uses less digits than its factorization.

34772279212944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 519 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 34772279212944 in words is "thirty-four trillion, seven hundred seventy-two billion, two hundred seventy-nine million, two hundred twelve thousand, nine hundred forty-four".