34842738000 has 320 divisors, whose sum is σ = 128834754048. Its totient is φ = 7935897600.

The previous prime is 34842737989. The next prime is 34842738031. The reversal of 34842738000 is 83724843.

It is a self number, because there is not a number n which added to its sum of digits gives 34842738000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13312692 + ... + 13315308.

Almost surely, 2^34842738000 is an apocalyptic number.

34842738000 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 34842738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64417377024).

34842738000 is an abundant number, since it is smaller than the sum of its proper divisors (93992016048).

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

34842738000 is a wasteful number, since it uses less digits than its factorization.

34842738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 34842738000 in words is "thirty-four billion, eight hundred forty-two million, seven hundred thirty-eight thousand".