34748306380800 has 2016 divisors, whose sum is σ = 142777990686240. Its totient is φ = 8338459852800.

The previous prime is 34748306380793. The next prime is 34748306380859. The reversal of 34748306380800 is 808360384743.

34748306380800 is a `hidden beast` number, since 3 + 4 + 7 + 483 + 0 + 6 + 3 + 80 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14593995610 + ... + 14593997990.

It is an arithmetic number, because the mean of its divisors is an integer number (70822416015).

Almost surely, 2^{34748306380800} is an apocalyptic number.

34748306380800 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 34748306380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71388995343120).

34748306380800 is an abundant number, since it is smaller than the sum of its proper divisors (108029684305440).

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

34748306380800 is a wasteful number, since it uses less digits than its factorization.

34748306380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 34748306380800 in words is "thirty-four trillion, seven hundred forty-eight billion, three hundred six million, three hundred eighty thousand, eight hundred".