34127982630 has 384 divisors, whose sum is σ = 110630707200. Its totient is φ = 7122124800.

The previous prime is 34127982619. The next prime is 34127982641. The reversal of 34127982630 is 3628972143.

34127982630 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 7 + 9 + 8 + 2 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (34127982619) and next prime (34127982641).

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76008646 + ... + 76009094.

It is an arithmetic number, because the mean of its divisors is an integer number (288100800).

Almost surely, 2^34127982630 is an apocalyptic number.

34127982630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34127982630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55315353600).

34127982630 is an abundant number, since it is smaller than the sum of its proper divisors (76502724570).

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

34127982630 is a wasteful number, since it uses less digits than its factorization.

34127982630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 34127982630 in words is "thirty-four billion, one hundred twenty-seven million, nine hundred eighty-two thousand, six hundred thirty".