34282493280 has 576 divisors, whose sum is σ = 140894208000. Its totient is φ = 7579837440.

The previous prime is 34282493263. The next prime is 34282493309. The reversal of 34282493280 is 8239428243.

34282493280 is a `hidden beast` number, since 3 + 4 + 2 + 82 + 493 + 2 + 80 = 666.

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

It is a congruent number.

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, 15310401 + ... + 15312639.

It is an arithmetic number, because the mean of its divisors is an integer number (244608000).

Almost surely, 2^34282493280 is an apocalyptic number.

34282493280 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 34282493280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104000).

34282493280 is an abundant number, since it is smaller than the sum of its proper divisors (106611714720).

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

34282493280 is a wasteful number, since it uses less digits than its factorization.

34282493280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 34282493280 in words is "thirty-four billion, two hundred eighty-two million, four hundred ninety-three thousand, two hundred eighty".