34014542760000 has 1120 divisors, whose sum is σ = 136629346613760. Its totient is φ = 8226950400000.

The previous prime is 34014542759957. The next prime is 34014542760001. The reversal of 34014542760000 is 6724541043.

34014542760000 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 4 + 5 + 42 + 7 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34014542760001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5547956935 + ... + 5547963065.

It is an arithmetic number, because the mean of its divisors is an integer number (121990488048).

Almost surely, 2^{34014542760000} is an apocalyptic number.

34014542760000 is a gapful number since it is divisible by the number (30) 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 34014542760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68314673306880).

34014542760000 is an abundant number, since it is smaller than the sum of its proper divisors (102614803853760).

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

34014542760000 is a wasteful number, since it uses less digits than its factorization.

34014542760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6650 (or 6619 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 34014542760000 in words is "thirty-four trillion, fourteen billion, five hundred forty-two million, seven hundred sixty thousand".