34843668480 has 416 divisors, whose sum is σ = 126026070720. Its totient is φ = 9130475520.

The previous prime is 34843668463. The next prime is 34843668481. The reversal of 34843668480 is 8486634843.

34843668480 is a `hidden beast` number, since 3 + 484 + 3 + 6 + 6 + 84 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34843668481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33730044 + ... + 33731076.

Almost surely, 2^34843668480 is an apocalyptic number.

34843668480 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 34843668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63013035360).

34843668480 is an abundant number, since it is smaller than the sum of its proper divisors (91182402240).

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

34843668480 is a wasteful number, since it uses less digits than its factorization.

34843668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 34843668480 in words is "thirty-four billion, eight hundred forty-three million, six hundred sixty-eight thousand, four hundred eighty".