34914679800 has 768 divisors, whose sum is σ = 147860536320. Its totient is φ = 6580224000.

The previous prime is 34914679777. The next prime is 34914679817. The reversal of 34914679800 is 897641943.

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, 36636124 + ... + 36637076.

It is an arithmetic number, because the mean of its divisors is an integer number (192526740).

Almost surely, 2^34914679800 is an apocalyptic number.

34914679800 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 34914679800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73930268160).

34914679800 is an abundant number, since it is smaller than the sum of its proper divisors (112945856520).

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

34914679800 is a wasteful number, since it uses less digits than its factorization.

34914679800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 34914679800 in words is "thirty-four billion, nine hundred fourteen million, six hundred seventy-nine thousand, eight hundred".