34214150670336 has 864 divisors, whose sum is σ = 128378503955520. Its totient is φ = 9023428657152.

The previous prime is 34214150670257. The next prime is 34214150670341. The reversal of 34214150670336 is 63307605141243.

34214150670336 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 41 + 506 + 70 + 3 + 36 = 666.

34214150670336 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 34214150670291 and 34214150670300.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 316958005 + ... + 317065931.

It is an arithmetic number, because the mean of its divisors is an integer number (148586231430).

Almost surely, 2^{34214150670336} is an apocalyptic number.

34214150670336 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 34214150670336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64189251977760).

34214150670336 is an abundant number, since it is smaller than the sum of its proper divisors (94164353285184).

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

34214150670336 is a wasteful number, since it uses less digits than its factorization.

34214150670336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107991 (or 107952 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 34214150670336 in words is "thirty-four trillion, two hundred fourteen billion, one hundred fifty million, six hundred seventy thousand, three hundred thirty-six".