34019048688630 has 256 divisors, whose sum is σ = 87969651609600. Its totient is φ = 8393689843200.

The previous prime is 34019048688623. The next prime is 34019048688641. The reversal of 34019048688630 is 3688684091043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3302494480 + ... + 3302504780.

It is an arithmetic number, because the mean of its divisors is an integer number (343631451600).

Almost surely, 2^{34019048688630} is an apocalyptic number.

34019048688630 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 34019048688630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43984825804800).

34019048688630 is an abundant number, since it is smaller than the sum of its proper divisors (53950602920970).

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

34019048688630 is a wasteful number, since it uses less digits than its factorization.

34019048688630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11019.

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 34019048688630 in words is "thirty-four trillion, nineteen billion, forty-eight million, six hundred eighty-eight thousand, six hundred thirty".