34389216000 has 432 divisors, whose sum is σ = 125119682688. Its totient is φ = 9068544000.

The previous prime is 34389215989. The next prime is 34389216011. The reversal of 34389216000 is 61298343.

34389216000 is a `hidden beast` number, since 3 + 43 + 8 + 9 + 2 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34389215989) and next prime (34389216011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27935385 + ... + 27936615.

Almost surely, 2^34389216000 is an apocalyptic number.

34389216000 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 34389216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62559841344).

34389216000 is an abundant number, since it is smaller than the sum of its proper divisors (90730466688).

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

34389216000 is a wasteful number, since it uses less digits than its factorization.

34389216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 34389216000 in words is "thirty-four billion, three hundred eighty-nine million, two hundred sixteen thousand".