3662277572160 has 672 divisors, whose sum is σ = 14021524887552. Its totient is φ = 906544742400.

The previous prime is 3662277572153. The next prime is 3662277572171. The reversal of 3662277572160 is 612757722663.

It is a happy number.

3662277572160 is a `hidden beast` number, since 3 + 6 + 6 + 2 + 2 + 7 + 7 + 572 + 1 + 60 = 666.

It is a super-2 number, since 2×3662277572160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3662277572097 and 3662277572106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96481185 + ... + 96519135.

It is an arithmetic number, because the mean of its divisors is an integer number (20865364416).

Almost surely, 2^{3662277572160} is an apocalyptic number.

3662277572160 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 3662277572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010762443776).

3662277572160 is an abundant number, since it is smaller than the sum of its proper divisors (10359247315392).

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

3662277572160 is a wasteful number, since it uses less digits than its factorization.

3662277572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38073 (or 38051 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 3662277572160 in words is "three trillion, six hundred sixty-two billion, two hundred seventy-seven million, five hundred seventy-two thousand, one hundred sixty".