34706931114240 has 5760 divisors, whose sum is σ = 172409125109760. Its totient is φ = 6503473152000.

The previous prime is 34706931114217. The next prime is 34706931114299. The reversal of 34706931114240 is 4241113960743.

It is a happy number.

34706931114240 is a `hidden beast` number, since 3 + 470 + 6 + 9 + 31 + 1 + 142 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 639 ways as a sum of consecutive naturals, for example, 568966083810 + ... + 568966083870.

It is an arithmetic number, because the mean of its divisors is an integer number (29932139776).

Almost surely, 2^{34706931114240} is an apocalyptic number.

34706931114240 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 34706931114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86204562554880).

34706931114240 is an abundant number, since it is smaller than the sum of its proper divisors (137702193995520).

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

34706931114240 is a wasteful number, since it uses less digits than its factorization.

34706931114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 34706931114240 in words is "thirty-four trillion, seven hundred six billion, nine hundred thirty-one million, one hundred fourteen thousand, two hundred forty".