3445285397904 has 405 divisors, whose sum is σ = 11847804883083. Its totient is φ = 931756597632.

The previous prime is 3445285397849. The next prime is 3445285397921. The reversal of 3445285397904 is 4097935825443.

The square root of 3445285397904 is 1856148.

It is a perfect power (a square), and thus also a powerful number.

3445285397904 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 2 + 8 + 539 + 7 + 90 + 4 = 666.

It is a super-4 number, since 4×3445285397904⁴ (a number of 51 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2962411627 + ... + 2962412789.

Almost surely, 2^{3445285397904} is an apocalyptic number.

3445285397904 is the 1856148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3445285397904

3445285397904 is an abundant number, since it is smaller than the sum of its proper divisors (8402519485179).

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

3445285397904 is a wasteful number, since it uses less digits than its factorization.

3445285397904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 3445285397904 in words is "three trillion, four hundred forty-five billion, two hundred eighty-five million, three hundred ninety-seven thousand, nine hundred four".