34282041480 has 224 divisors, whose sum is σ = 117550969560. Its totient is φ = 8991544320.

The previous prime is 34282041467. The next prime is 34282041491. The reversal of 34282041480 is 8414028243.

It can be written as a sum of positive squares in 4 ways, for example, as 20462158116 + 13819883364 = 143046^2 + 117558^2 .

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 55 ways as a sum of consecutive naturals, for example, 1769124 + ... + 1788396.

Almost surely, 2^34282041480 is an apocalyptic number.

34282041480 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 34282041480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58775484780).

34282041480 is an abundant number, since it is smaller than the sum of its proper divisors (83268928080).

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

34282041480 is a wasteful number, since it uses less digits than its factorization.

34282041480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19363 (or 19344 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 34282041480 in words is "thirty-four billion, two hundred eighty-two million, forty-one thousand, four hundred eighty".