3494855478816 has 576 divisors, whose sum is σ = 11951846524800. Its totient is φ = 994901999616.

The previous prime is 3494855478791. The next prime is 3494855478827. The reversal of 3494855478816 is 6188745584943.

3494855478816 is a `hidden beast` number, since 3 + 4 + 9 + 485 + 54 + 7 + 88 + 16 = 666.

3494855478816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101374030 + ... + 101408498.

It is an arithmetic number, because the mean of its divisors is an integer number (20749733550).

Almost surely, 2^{3494855478816} is an apocalyptic number.

3494855478816 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 3494855478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975923262400).

3494855478816 is an abundant number, since it is smaller than the sum of its proper divisors (8456991045984).

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

3494855478816 is a wasteful number, since it uses less digits than its factorization.

3494855478816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34583 (or 34563 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 3494855478816 in words is "three trillion, four hundred ninety-four billion, eight hundred fifty-five million, four hundred seventy-eight thousand, eight hundred sixteen".