3455678352672 has 480 divisors, whose sum is σ = 13244176294272. Its totient is φ = 857775661056.

The previous prime is 3455678352641. The next prime is 3455678352673. The reversal of 3455678352672 is 2762538765543.

3455678352672 is a `hidden beast` number, since 3 + 4 + 5 + 567 + 8 + 3 + 5 + 2 + 67 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3455678352673) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3578923 + ... + 4440725.

Almost surely, 2^{3455678352672} is an apocalyptic number.

3455678352672 is a gapful number since it is divisible by the number (32) 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 3455678352672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622088147136).

3455678352672 is an abundant number, since it is smaller than the sum of its proper divisors (9788497941600).

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

3455678352672 is a wasteful number, since it uses less digits than its factorization.

3455678352672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861862 (or 861845 counting only the distinct ones).

The product of its digits is 254016000, while the sum is 63.

The spelling of 3455678352672 in words is "three trillion, four hundred fifty-five billion, six hundred seventy-eight million, three hundred fifty-two thousand, six hundred seventy-two".