3523182445440 has 768 divisors, whose sum is σ = 14789211336000. Its totient is φ = 790094462976.

The previous prime is 3523182445403. The next prime is 3523182445463. The reversal of 3523182445440 is 445442813253.

3523182445440 is a `hidden beast` number, since 3 + 5 + 2 + 318 + 244 + 54 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 44836906 + ... + 44915414.

Almost surely, 2^{3523182445440} is an apocalyptic number.

3523182445440 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 3523182445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7394605668000).

3523182445440 is an abundant number, since it is smaller than the sum of its proper divisors (11266028890560).

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

3523182445440 is a wasteful number, since it uses less digits than its factorization.

3523182445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78604 (or 78579 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 3523182445440 in words is "three trillion, five hundred twenty-three billion, one hundred eighty-two million, four hundred forty-five thousand, four hundred forty".