34488492480 has 504 divisors, whose sum is σ = 130738991760. Its totient is φ = 8338636800.

The previous prime is 34488492407. The next prime is 34488492487. The reversal of 34488492480 is 8429488443.

34488492480 is a `hidden beast` number, since 3 + 44 + 88 + 49 + 2 + 480 = 666.

It is a super-2 number, since 2×34488492480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34488492487) 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 71 ways as a sum of consecutive naturals, for example, 28715880 + ... + 28717080.

Almost surely, 2^34488492480 is an apocalyptic number.

34488492480 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 34488492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65369495880).

34488492480 is an abundant number, since it is smaller than the sum of its proper divisors (96250499280).

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

34488492480 is a wasteful number, since it uses less digits than its factorization.

34488492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 34488492480 in words is "thirty-four billion, four hundred eighty-eight million, four hundred ninety-two thousand, four hundred eighty".