34019941248 has 256 divisors, whose sum is σ = 102014035200. Its totient is φ = 11160115200.

The previous prime is 34019941213. The next prime is 34019941279. The reversal of 34019941248 is 84214991043.

34019941248 is a `hidden beast` number, since 3 + 4 + 0 + 199 + 412 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73795738 + ... + 73796198.

It is an arithmetic number, because the mean of its divisors is an integer number (398492325).

Almost surely, 2^34019941248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34019941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51007017600).

34019941248 is an abundant number, since it is smaller than the sum of its proper divisors (67994093952).

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

34019941248 is a wasteful number, since it uses less digits than its factorization.

34019941248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 34019941248 in words is "thirty-four billion, nineteen million, nine hundred forty-one thousand, two hundred forty-eight".