34731068682240 has 1664 divisors, whose sum is σ = 146477411942400. Its totient is φ = 7642101841920.

The previous prime is 34731068682239. The next prime is 34731068682257. The reversal of 34731068682240 is 4228686013743.

34731068682240 is a `hidden beast` number, since 3 + 4 + 7 + 310 + 6 + 8 + 6 + 82 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 11817306691 + ... + 11817309629.

Almost surely, 2^{34731068682240} is an apocalyptic number.

34731068682240 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 34731068682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73238705971200).

34731068682240 is an abundant number, since it is smaller than the sum of its proper divisors (111746343260160).

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

34731068682240 is a wasteful number, since it uses less digits than its factorization.

34731068682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 34731068682240 in words is "thirty-four trillion, seven hundred thirty-one billion, sixty-eight million, six hundred eighty-two thousand, two hundred forty".