3432682471680 has 1728 divisors, whose sum is σ = 15590671810560. Its totient is φ = 707180544000.

The previous prime is 3432682471663. The next prime is 3432682471693. The reversal of 3432682471680 is 861742862343.

3432682471680 is a `hidden beast` number, since 3 + 4 + 32 + 6 + 82 + 471 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3432682471680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2365734955 + ... + 2365736405.

It is an arithmetic number, because the mean of its divisors is an integer number (9022379520).

Almost surely, 2^{3432682471680} is an apocalyptic number.

3432682471680 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 3432682471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795335905280).

3432682471680 is an abundant number, since it is smaller than the sum of its proper divisors (12157989338880).

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

3432682471680 is a wasteful number, since it uses less digits than its factorization.

3432682471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 3432682471680 in words is "three trillion, four hundred thirty-two billion, six hundred eighty-two million, four hundred seventy-one thousand, six hundred eighty".