34764795000 has 960 divisors, whose sum is σ = 137547970560. Its totient is φ = 8164800000.

The previous prime is 34764794993. The next prime is 34764795011. The reversal of 34764795000 is 59746743.

34764795000 is a `hidden beast` number, since 3 + 4 + 76 + 4 + 79 + 500 + 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 (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 489644965 + ... + 489645035.

It is an arithmetic number, because the mean of its divisors is an integer number (143279136).

Almost surely, 2^34764795000 is an apocalyptic number.

34764795000 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 34764795000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68773985280).

34764795000 is an abundant number, since it is smaller than the sum of its proper divisors (102783175560).

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

34764795000 is a wasteful number, since it uses less digits than its factorization.

34764795000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 34764795000 in words is "thirty-four billion, seven hundred sixty-four million, seven hundred ninety-five thousand".