3454253642160 has 320 divisors, whose sum is σ = 11961452275200. Its totient is φ = 916228703232.

The previous prime is 3454253642141. The next prime is 3454253642197. The reversal of 3454253642160 is 612463524543.

3454253642160 is a `hidden beast` number, since 3 + 4 + 5 + 425 + 3 + 6 + 4 + 216 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 634620399 + ... + 634625841.

It is an arithmetic number, because the mean of its divisors is an integer number (37379538360).

Almost surely, 2^{3454253642160} is an apocalyptic number.

3454253642160 is a gapful number since it is divisible by the number (30) 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 3454253642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980726137600).

3454253642160 is an abundant number, since it is smaller than the sum of its proper divisors (8507198633040).

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

3454253642160 is a wasteful number, since it uses less digits than its factorization.

3454253642160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6977 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 3454253642160 in words is "three trillion, four hundred fifty-four billion, two hundred fifty-three million, six hundred forty-two thousand, one hundred sixty".