34745726665440 has 432 divisors, whose sum is σ = 138034833208272. Its totient is φ = 7935736209408.

The previous prime is 34745726665393. The next prime is 34745726665453. The reversal of 34745726665440 is 4456662754743.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 71 ways as a sum of consecutive naturals, for example, 91326487 + ... + 91706153.

It is an arithmetic number, because the mean of its divisors is an integer number (319525076871).

Almost surely, 2^{34745726665440} is an apocalyptic number.

34745726665440 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 34745726665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69017416604136).

34745726665440 is an abundant number, since it is smaller than the sum of its proper divisors (103289106542832).

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

34745726665440 is a wasteful number, since it uses less digits than its factorization.

34745726665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380999 (or 380981 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 63.

The spelling of 34745726665440 in words is "thirty-four trillion, seven hundred forty-five billion, seven hundred twenty-six million, six hundred sixty-five thousand, four hundred forty".