34367572721664 has 2160 divisors, whose sum is σ = 130183062417408. Its totient is φ = 8652378341376.

The previous prime is 34367572721659. The next prime is 34367572721687. The reversal of 34367572721664 is 46612727576343.

34367572721664 is a `hidden beast` number, since 3 + 4 + 36 + 7 + 572 + 7 + 21 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×34367572721664² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 270610808769 + ... + 270610808895.

Almost surely, 2^{34367572721664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34367572721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65091531208704).

34367572721664 is an abundant number, since it is smaller than the sum of its proper divisors (95815489695744).

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

34367572721664 is a wasteful number, since it uses less digits than its factorization.

34367572721664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 262 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 63.

The spelling of 34367572721664 in words is "thirty-four trillion, three hundred sixty-seven billion, five hundred seventy-two million, seven hundred twenty-one thousand, six hundred sixty-four".