34272397242216 has 640 divisors, whose sum is σ = 112833921024000. Its totient is φ = 9517857592320.

The previous prime is 34272397242203. The next prime is 34272397242227. The reversal of 34272397242216 is 61224279327243.

34272397242216 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 2 + 397 + 24 + 221 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 7371991060 + ... + 7371995708.

It is an arithmetic number, because the mean of its divisors is an integer number (176303001600).

Almost surely, 2^{34272397242216} is an apocalyptic number.

34272397242216 is a gapful number since it is divisible by the number (36) 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 34272397242216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56416960512000).

34272397242216 is an abundant number, since it is smaller than the sum of its proper divisors (78561523781784).

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

34272397242216 is a wasteful number, since it uses less digits than its factorization.

34272397242216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5046 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 34272397242216 in words is "thirty-four trillion, two hundred seventy-two billion, three hundred ninety-seven million, two hundred forty-two thousand, two hundred sixteen".