34789248000 has 1056 divisors, whose sum is σ = 142273901952. Its totient is φ = 8110080000.

The previous prime is 34789247959. The next prime is 34789248037. The reversal of 34789248000 is 84298743.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 344447950 + ... + 344448050.

Almost surely, 2^34789248000 is an apocalyptic number.

34789248000 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 34789248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71136950976).

34789248000 is an abundant number, since it is smaller than the sum of its proper divisors (107484653952).

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

34789248000 is a wasteful number, since it uses less digits than its factorization.

34789248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 34789248000 in words is "thirty-four billion, seven hundred eighty-nine million, two hundred forty-eight thousand".