34742777143680 has 256 divisors, whose sum is σ = 123052843166400. Its totient is φ = 9264325902336.

The previous prime is 34742777143673. The next prime is 34742777143693. The reversal of 34742777143680 is 8634177724743.

It is a happy number.

34742777143680 is a `hidden beast` number, since 3 + 4 + 7 + 427 + 7 + 7 + 143 + 68 + 0 = 666.

It is a super-3 number, since 3×34742777143680³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712896594 + ... + 712945326.

Almost surely, 2^{34742777143680} is an apocalyptic number.

34742777143680 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 34742777143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61526421583200).

34742777143680 is an abundant number, since it is smaller than the sum of its proper divisors (88310066022720).

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

34742777143680 is a wasteful number, since it uses less digits than its factorization.

34742777143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90018 (or 90000 counting only the distinct ones).

The product of its (nonzero) digits is 132765696, while the sum is 63.

The spelling of 34742777143680 in words is "thirty-four trillion, seven hundred forty-two billion, seven hundred seventy-seven million, one hundred forty-three thousand, six hundred eighty".