1682343432 has 192 divisors, whose sum is σ = 5891558400. Its totient is φ = 436933440.

The previous prime is 1682343361. The next prime is 1682343449. The reversal of 1682343432 is 2343432861.

1682343432 is a `hidden beast` number, since 168 + 23 + 43 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144069 + ... + 155307.

It is an arithmetic number, because the mean of its divisors is an integer number (30685200).

Almost surely, 2^1682343432 is an apocalyptic number.

1682343432 is a gapful number since it is divisible by the number (12) 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 1682343432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945779200).

1682343432 is an abundant number, since it is smaller than the sum of its proper divisors (4209214968).

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

1682343432 is a wasteful number, since it uses less digits than its factorization.

1682343432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11278 (or 11262 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 1682343432 is about 41016.3800450503. The cubic root of 1682343432 is about 1189.3368788590.

The spelling of 1682343432 in words is "one billion, six hundred eighty-two million, three hundred forty-three thousand, four hundred thirty-two".