34238603961216 has 320 divisors, whose sum is σ = 106340012341200. Its totient is φ = 10921793863680.

The previous prime is 34238603961169. The next prime is 34238603961253. The reversal of 34238603961216 is 61216930683243.

34238603961216 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 8 + 6 + 0 + 3 + 9 + 612 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33472071 + ... + 34479801.

Almost surely, 2^{34238603961216} is an apocalyptic number.

34238603961216 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 34238603961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53170006170600).

34238603961216 is an abundant number, since it is smaller than the sum of its proper divisors (72101408379984).

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

34238603961216 is a wasteful number, since it uses less digits than its factorization.

34238603961216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007899 (or 1007878 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 34238603961216 in words is "thirty-four trillion, two hundred thirty-eight billion, six hundred three million, nine hundred sixty-one thousand, two hundred sixteen".