34801388987040 has 288 divisors, whose sum is σ = 128073033204480. Its totient is φ = 8554577983488.

The previous prime is 34801388987021. The next prime is 34801388987089. The reversal of 34801388987040 is 4078988310843.

34801388987040 is a `hidden beast` number, since 3 + 480 + 1 + 3 + 8 + 89 + 8 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×34801388987040² (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 12166879 + ... + 14752481.

It is an arithmetic number, because the mean of its divisors is an integer number (444698031960).

Almost surely, 2^{34801388987040} is an apocalyptic number.

34801388987040 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 34801388987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64036516602240).

34801388987040 is an abundant number, since it is smaller than the sum of its proper divisors (93271644217440).

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

34801388987040 is a wasteful number, since it uses less digits than its factorization.

34801388987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586356 (or 2586345 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 34801388987040 in words is "thirty-four trillion, eight hundred one billion, three hundred eighty-eight million, nine hundred eighty-seven thousand, forty".