3455793040896 has 400 divisors, whose sum is σ = 11809432942560. Its totient is φ = 985587056640.

The previous prime is 3455793040867. The next prime is 3455793040901. The reversal of 3455793040896 is 6980403975543.

3455793040896 is a `hidden beast` number, since 3 + 4 + 5 + 57 + 93 + 0 + 408 + 96 = 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165172516 + ... + 165193436.

Almost surely, 2^{3455793040896} is an apocalyptic number.

3455793040896 is a gapful number since it is divisible by the number (36) 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 3455793040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904716471280).

3455793040896 is an abundant number, since it is smaller than the sum of its proper divisors (8353639901664).

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

3455793040896 is an equidigital number, since it uses as much as digits as its factorization.

3455793040896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21527 (or 21502 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 3455793040896 in words is "three trillion, four hundred fifty-five billion, seven hundred ninety-three million, forty thousand, eight hundred ninety-six".