3462235542240 has 192 divisors, whose sum is σ = 11021328509184. Its totient is φ = 913508057088.

The previous prime is 3462235542191. The next prime is 3462235542287. The reversal of 3462235542240 is 422455322643.

It is a junction number, because it is equal to n+sod(n) for n = 3462235542192 and 3462235542201.

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 31 ways as a sum of consecutive naturals, for example, 248949367 + ... + 248963273.

It is an arithmetic number, because the mean of its divisors is an integer number (57402752652).

Almost surely, 2^{3462235542240} is an apocalyptic number.

3462235542240 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 3462235542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510664254592).

3462235542240 is an abundant number, since it is smaller than the sum of its proper divisors (7559092966944).

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

3462235542240 is a wasteful number, since it uses less digits than its factorization.

3462235542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19369 (or 19361 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

The spelling of 3462235542240 in words is "three trillion, four hundred sixty-two billion, two hundred thirty-five million, five hundred forty-two thousand, two hundred forty".