34061981009184 has 120 divisors (see below), whose sum is σ = 100353275613360. Its totient is φ = 11333826232704.

The previous prime is 34061981009131. The next prime is 34061981009263. The reversal of 34061981009184 is 48190018916043.

34061981009184 is a `hidden beast` number, since 3 + 4 + 0 + 619 + 8 + 1 + 0 + 0 + 9 + 18 + 4 = 666.

It is a super-2 number, since 2×34061981009184² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34061981009184.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10211394 + ... + 13129985.

It is an arithmetic number, because the mean of its divisors is an integer number (836277296778).

Almost surely, 2^{34061981009184} is an apocalyptic number.

It is an amenable number.

34061981009184 is an abundant number, since it is smaller than the sum of its proper divisors (66291294604176).

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

34061981009184 is a wasteful number, since it uses less digits than its factorization.

34061981009184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23341964 (or 23341947 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 34061981009184 in words is "thirty-four trillion, sixty-one billion, nine hundred eighty-one million, nine thousand, one hundred eighty-four".