34718188450140 has 288 divisors, whose sum is σ = 120232633772160. Its totient is φ = 8033359085568.

The previous prime is 34718188450093. The next prime is 34718188450151. The reversal of 34718188450140 is 4105488181743.

It is a happy number.

34718188450140 is a `hidden beast` number, since 3 + 4 + 7 + 1 + 8 + 18 + 84 + 501 + 40 = 666.

It is a super-3 number, since 3×34718188450140³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31642617 + ... + 32721423.

It is an arithmetic number, because the mean of its divisors is an integer number (417474422820).

Almost surely, 2^{34718188450140} is an apocalyptic number.

34718188450140 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 34718188450140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60116316886080).

34718188450140 is an abundant number, since it is smaller than the sum of its proper divisors (85514445322020).

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

34718188450140 is a wasteful number, since it uses less digits than its factorization.

34718188450140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079661 (or 1079656 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 34718188450140 in words is "thirty-four trillion, seven hundred eighteen billion, one hundred eighty-eight million, four hundred fifty thousand, one hundred forty".