3432388608000 has 2520 divisors, whose sum is σ = 14861514791760. Its totient is φ = 788299776000.

The previous prime is 3432388607953. The next prime is 3432388608001. The reversal of 3432388608000 is 8068832343.

3432388608000 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 38 + 8 + 608 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432388608001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 180652031991 + ... + 180652032009.

Almost surely, 2^{3432388608000} is an apocalyptic number.

3432388608000 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 3432388608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430757395880).

3432388608000 is an abundant number, since it is smaller than the sum of its proper divisors (11429126183760).

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

3432388608000 is an frugal number, since it uses more digits than its factorization.

3432388608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

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

The spelling of 3432388608000 in words is "three trillion, four hundred thirty-two billion, three hundred eighty-eight million, six hundred eight thousand".