34063119000 has 256 divisors, whose sum is σ = 120092544000. Its totient is φ = 8929123200.

The previous prime is 34063118989. The next prime is 34063119001. The reversal of 34063119000 is 91136043.

34063119000 is a `hidden beast` number, since 340 + 6 + 311 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×34063119000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34063119001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1582309 + ... + 1603691.

It is an arithmetic number, because the mean of its divisors is an integer number (469111500).

Almost surely, 2^34063119000 is an apocalyptic number.

34063119000 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 34063119000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60046272000).

34063119000 is an abundant number, since it is smaller than the sum of its proper divisors (86029425000).

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

34063119000 is a wasteful number, since it uses less digits than its factorization.

34063119000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21472 (or 21452 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 34063119000 in words is "thirty-four billion, sixty-three million, one hundred nineteen thousand".