3906003142440 has 768 divisors, whose sum is σ = 15461652211200. Its totient is φ = 835329024000.

The previous prime is 3906003142423. The next prime is 3906003142477. The reversal of 3906003142440 is 442413006093.

It is a happy number.

3906003142440 is a `hidden beast` number, since 3 + 9 + 0 + 600 + 3 + 1 + 4 + 2 + 4 + 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 = 3906003142395 and 3906003142404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2616210334 + ... + 2616211826.

It is an arithmetic number, because the mean of its divisors is an integer number (20132359650).

Almost surely, 2^{3906003142440} is an apocalyptic number.

3906003142440 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 3906003142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730826105600).

3906003142440 is an abundant number, since it is smaller than the sum of its proper divisors (11555649068760).

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

3906003142440 is a wasteful number, since it uses less digits than its factorization.

3906003142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 3906003142440 in words is "three trillion, nine hundred six billion, three million, one hundred forty-two thousand, four hundred forty".