3433342401120 has 576 divisors, whose sum is σ = 11431944066816. Its totient is φ = 865953177600.

The previous prime is 3433342401101. The next prime is 3433342401127. The reversal of 3433342401120 is 211042433343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3433342401127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4362569367 + ... + 4362570153.

It is an arithmetic number, because the mean of its divisors is an integer number (19847125116).

Almost surely, 2^{3433342401120} is an apocalyptic number.

3433342401120 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 3433342401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715972033408).

3433342401120 is an abundant number, since it is smaller than the sum of its proper divisors (7998601665696).

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

3433342401120 is a wasteful number, since it uses less digits than its factorization.

3433342401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 3433342401120 its reverse (211042433343), we get a palindrome (3644384834463).

The spelling of 3433342401120 in words is "three trillion, four hundred thirty-three billion, three hundred forty-two million, four hundred one thousand, one hundred twenty".