34863930000 has 300 divisors, whose sum is σ = 124241651820. Its totient is φ = 9120384000.

The previous prime is 34863929963. The next prime is 34863930001. The reversal of 34863930000 is 3936843.

34863930000 is a `hidden beast` number, since 348 + 6 + 3 + 9 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 24171542784 + 10692387216 = 155472^2 + 103404^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (34863930001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4766346 + ... + 4773654.

Almost surely, 2^34863930000 is an apocalyptic number.

34863930000 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 34863930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62120825910).

34863930000 is an abundant number, since it is smaller than the sum of its proper divisors (89377721820).

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

34863930000 is a wasteful number, since it uses less digits than its factorization.

34863930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7396 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 34863930000 in words is "thirty-four billion, eight hundred sixty-three million, nine hundred thirty thousand".