34938288000 has 1536 divisors, whose sum is σ = 164425697280. Its totient is φ = 6893568000.

The previous prime is 34938287929. The next prime is 34938288029. The reversal of 34938288000 is 88283943.

34938288000 is a `hidden beast` number, since 3 + 493 + 82 + 8 + 80 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 255023932 + ... + 255024068.

It is an arithmetic number, because the mean of its divisors is an integer number (107047980).

Almost surely, 2^34938288000 is an apocalyptic number.

34938288000 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 34938288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82212848640).

34938288000 is an abundant number, since it is smaller than the sum of its proper divisors (129487409280).

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

34938288000 is a wasteful number, since it uses less digits than its factorization.

34938288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 34938288000 in words is "thirty-four billion, nine hundred thirty-eight million, two hundred eighty-eight thousand".