3447997905240 has 512 divisors, whose sum is σ = 13843832832000. Its totient is φ = 745701355008.

The previous prime is 3447997905227. The next prime is 3447997905371. The reversal of 3447997905240 is 425097997443.

3447997905240 is a `hidden beast` number, since 3 + 4 + 479 + 9 + 79 + 0 + 52 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 118201137 + ... + 118230303.

It is an arithmetic number, because the mean of its divisors is an integer number (27038736000).

Almost surely, 2^{3447997905240} is an apocalyptic number.

3447997905240 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 3447997905240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921916416000).

3447997905240 is an abundant number, since it is smaller than the sum of its proper divisors (10395834926760).

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

3447997905240 is a wasteful number, since it uses less digits than its factorization.

3447997905240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30036 (or 30026 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 3447997905240 in words is "three trillion, four hundred forty-seven billion, nine hundred ninety-seven million, nine hundred five thousand, two hundred forty".