34276112640 has 864 divisors, whose sum is σ = 156620894976. Its totient is φ = 6700400640.

The previous prime is 34276112639. The next prime is 34276112681. The reversal of 34276112640 is 4621167243.

34276112640 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 6 + 1 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34276112595 and 34276112604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15078544 + ... + 15080816.

It is an arithmetic number, because the mean of its divisors is an integer number (181274184).

Almost surely, 2^34276112640 is an apocalyptic number.

34276112640 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 34276112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78310447488).

34276112640 is an abundant number, since it is smaller than the sum of its proper divisors (122344782336).

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

34276112640 is a wasteful number, since it uses less digits than its factorization.

34276112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 34276112640 its reverse (4621167243), we get a palindrome (38897279883).

The spelling of 34276112640 in words is "thirty-four billion, two hundred seventy-six million, one hundred twelve thousand, six hundred forty".