34982513280 has 1152 divisors, whose sum is σ = 149205551040. Its totient is φ = 7828254720.

The previous prime is 34982513261. The next prime is 34982513287. The reversal of 34982513280 is 8231528943.

34982513280 is a `hidden beast` number, since 3 + 498 + 2 + 51 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34982513287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2690962554 + ... + 2690962566.

Almost surely, 2^34982513280 is an apocalyptic number.

34982513280 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 34982513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74602775520).

34982513280 is an abundant number, since it is smaller than the sum of its proper divisors (114223037760).

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

34982513280 is an equidigital number, since it uses as much as digits as its factorization.

34982513280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 34982513280 in words is "thirty-four billion, nine hundred eighty-two million, five hundred thirteen thousand, two hundred eighty".