3432681008640 has 1920 divisors, whose sum is σ = 13836938379264. Its totient is φ = 780337152000.

The previous prime is 3432681008597. The next prime is 3432681008677. The reversal of 3432681008640 is 468001862343.

3432681008640 is a `hidden beast` number, since 343 + 268 + 1 + 0 + 0 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×3432681008640³ (a number of 39 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27028984257 + ... + 27028984383.

Almost surely, 2^{3432681008640} is an apocalyptic number.

3432681008640 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 3432681008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918469189632).

3432681008640 is an abundant number, since it is smaller than the sum of its proper divisors (10404257370624).

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

3432681008640 is a wasteful number, since it uses less digits than its factorization.

3432681008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

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

The spelling of 3432681008640 in words is "three trillion, four hundred thirty-two billion, six hundred eighty-one million, eight thousand, six hundred forty".