3654419852160 has 2304 divisors, whose sum is σ = 16637811240960. Its totient is φ = 722608128000.

The previous prime is 3654419852159. The next prime is 3654419852179. The reversal of 3654419852160 is 612589144563.

3654419852160 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 419 + 8 + 5 + 216 + 0 = 666.

It is a super-2 number, since 2×3654419852160² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3654419852097 and 3654419852106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11040543195 + ... + 11040543525.

It is an arithmetic number, because the mean of its divisors is an integer number (7221272240).

Almost surely, 2^{3654419852160} is an apocalyptic number.

3654419852160 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 3654419852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318905620480).

3654419852160 is an abundant number, since it is smaller than the sum of its proper divisors (12983391388800).

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

3654419852160 is a wasteful number, since it uses less digits than its factorization.

3654419852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 3654419852160 in words is "three trillion, six hundred fifty-four billion, four hundred nineteen million, eight hundred fifty-two thousand, one hundred sixty".