3445357488768 has 384 divisors, whose sum is σ = 11258226907200. Its totient is φ = 1002593894400.

The previous prime is 3445357488739. The next prime is 3445357488773. The reversal of 3445357488768 is 8678847535443.

3445357488768 is a `hidden beast` number, since 3 + 4 + 4 + 535 + 7 + 4 + 8 + 87 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3445357488696 and 3445357488705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171000871 + ... + 171021017.

Almost surely, 2^{3445357488768} is an apocalyptic number.

3445357488768 is a gapful number since it is divisible by the number (38) 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 3445357488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629113453600).

3445357488768 is an abundant number, since it is smaller than the sum of its proper divisors (7812869418432).

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

3445357488768 is a wasteful number, since it uses less digits than its factorization.

3445357488768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20800 (or 20785 counting only the distinct ones).

The product of its digits is 2167603200, while the sum is 72.

The spelling of 3445357488768 in words is "three trillion, four hundred forty-five billion, three hundred fifty-seven million, four hundred eighty-eight thousand, seven hundred sixty-eight".