34103482237440 has 7680 divisors, whose sum is σ = 176551899955200. Its totient is φ = 6069908275200.

The previous prime is 34103482237427. The next prime is 34103482237507. The reversal of 34103482237440 is 4473228430143.

34103482237440 is a `hidden beast` number, since 3 + 4 + 10 + 348 + 223 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 793104238059 + ... + 793104238101.

It is an arithmetic number, because the mean of its divisors is an integer number (22988528640).

Almost surely, 2^{34103482237440} is an apocalyptic number.

34103482237440 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 34103482237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88275949977600).

34103482237440 is an abundant number, since it is smaller than the sum of its proper divisors (142448417717760).

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

34103482237440 is a wasteful number, since it uses less digits than its factorization.

34103482237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 34103482237440 in words is "thirty-four trillion, one hundred three billion, four hundred eighty-two million, two hundred thirty-seven thousand, four hundred forty".