34062448742100 has 432 divisors, whose sum is σ = 111985076496384. Its totient is φ = 8649655200000.

The previous prime is 34062448742099. The next prime is 34062448742159. The reversal of 34062448742100 is 124784426043.

34062448742100 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 24 + 487 + 42 + 100 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 581211399 + ... + 581270001.

It is an arithmetic number, because the mean of its divisors is an integer number (259224714112).

Almost surely, 2^{34062448742100} is an apocalyptic number.

34062448742100 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 34062448742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55992538248192).

34062448742100 is an abundant number, since it is smaller than the sum of its proper divisors (77922627754284).

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

34062448742100 is a wasteful number, since it uses less digits than its factorization.

34062448742100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58988 (or 58978 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 34062448742100 in words is "thirty-four trillion, sixty-two billion, four hundred forty-eight million, seven hundred forty-two thousand, one hundred".