3433996500480 has 2160 divisors, whose sum is σ = 15577735773600. Its totient is φ = 684435308544.

The previous prime is 3433996500457. The next prime is 3433996500521. The reversal of 3433996500480 is 840056993343.

3433996500480 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 9 + 96 + 500 + 48 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9839531346 + ... + 9839531694.

It is an arithmetic number, because the mean of its divisors is an integer number (7211914710).

Almost surely, 2^{3433996500480} is an apocalyptic number.

3433996500480 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 3433996500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788867886800).

3433996500480 is an abundant number, since it is smaller than the sum of its proper divisors (12143739273120).

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

3433996500480 is a wasteful number, since it uses less digits than its factorization.

3433996500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3433996500480 in words is "three trillion, four hundred thirty-three billion, nine hundred ninety-six million, five hundred thousand, four hundred eighty".