3423332989440 has 2880 divisors, whose sum is σ = 15789514156416. Its totient is φ = 704310018048.

The previous prime is 3423332989393. The next prime is 3423332989463. The reversal of 3423332989440 is 449892333243.

3423332989440 is a `hidden beast` number, since 3 + 4 + 233 + 329 + 89 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 21002042799 + ... + 21002042961.

Almost surely, 2^{3423332989440} is an apocalyptic number.

3423332989440 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 3423332989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894757078208).

3423332989440 is an abundant number, since it is smaller than the sum of its proper divisors (12366181166976).

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

3423332989440 is a wasteful number, since it uses less digits than its factorization.

3423332989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 3423332989440 in words is "three trillion, four hundred twenty-three billion, three hundred thirty-two million, nine hundred eighty-nine thousand, four hundred forty".