34274453052672 has 1728 divisors, whose sum is σ = 128699887680000. Its totient is φ = 9059714334720.

The previous prime is 34274453052641. The next prime is 34274453052709. The reversal of 34274453052672 is 27625035447243.

It is a happy number.

34274453052672 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 4 + 45 + 3 + 0 + 526 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22126824954 + ... + 22126826502.

Almost surely, 2^{34274453052672} is an apocalyptic number.

34274453052672 is a gapful number since it is divisible by the number (32) 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 34274453052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64349943840000).

34274453052672 is an abundant number, since it is smaller than the sum of its proper divisors (94425434627328).

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

34274453052672 is an equidigital number, since it uses as much as digits as its factorization.

34274453052672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 54.

The spelling of 34274453052672 in words is "thirty-four trillion, two hundred seventy-four billion, four hundred fifty-three million, fifty-two thousand, six hundred seventy-two".