3432108672000 has 616 divisors, whose sum is σ = 12838016899032. Its totient is φ = 915204096000.

The previous prime is 3432108671983. The next prime is 3432108672017. The reversal of 3432108672000 is 2768012343.

It is a happy number.

3432108672000 is a `hidden beast` number, since 3 + 432 + 10 + 8 + 6 + 7 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3432108671983) and next prime (3432108672017).

It can be written as a sum of positive squares in 4 ways, for example, as 983810064384 + 2448298607616 = 991872^2 + 1564704^2 .

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

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 55 ways as a sum of consecutive naturals, for example, 93293610 + ... + 93330390.

Almost surely, 2^{3432108672000} is an apocalyptic number.

3432108672000 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 3432108672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419008449516).

3432108672000 is an abundant number, since it is smaller than the sum of its proper divisors (9405908227032).

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

3432108672000 is an frugal number, since it uses more digits than its factorization.

3432108672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36834 (or 36791 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3432108672000 in words is "three trillion, four hundred thirty-two billion, one hundred eight million, six hundred seventy-two thousand".