3442054023540 has 288 divisors, whose sum is σ = 11735408385792. Its totient is φ = 809512704000.

The previous prime is 3442054023533. The next prime is 3442054023553. The reversal of 3442054023540 is 453204502443.

3442054023540 is a `hidden beast` number, since 3 + 4 + 4 + 205 + 402 + 3 + 5 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3442054023495 and 3442054023504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8621745 + ... + 9012135.

It is an arithmetic number, because the mean of its divisors is an integer number (40747945784).

Almost surely, 2^{3442054023540} is an apocalyptic number.

3442054023540 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 3442054023540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867704192896).

3442054023540 is an abundant number, since it is smaller than the sum of its proper divisors (8293354362252).

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

3442054023540 is a wasteful number, since it uses less digits than its factorization.

3442054023540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390551 (or 390546 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 3442054023540 its reverse (453204502443), we get a palindrome (3895258525983).

The spelling of 3442054023540 in words is "three trillion, four hundred forty-two billion, fifty-four million, twenty-three thousand, five hundred forty".