34738308000 has 1152 divisors, whose sum is σ = 147382260480. Its totient is φ = 7978176000.

The previous prime is 34738307987. The next prime is 34738308013. The reversal of 34738308000 is 80383743.

34738308000 is a `hidden beast` number, since 347 + 3 + 8 + 308 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34738307987) and next prime (34738308013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1828331991 + ... + 1828332009.

It is an arithmetic number, because the mean of its divisors is an integer number (127935990).

Almost surely, 2^34738308000 is an apocalyptic number.

34738308000 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 34738308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73691130240).

34738308000 is an abundant number, since it is smaller than the sum of its proper divisors (112643952480).

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

34738308000 is an equidigital number, since it uses as much as digits as its factorization.

34738308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34738308000 in words is "thirty-four billion, seven hundred thirty-eight million, three hundred eight thousand".