3608406766080 has 1120 divisors, whose sum is σ = 13651403776560. Its totient is φ = 912994467840.

The previous prime is 3608406766009. The next prime is 3608406766121. The reversal of 3608406766080 is 806676048063.

3608406766080 is a `hidden beast` number, since 36 + 0 + 8 + 406 + 76 + 60 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1700958507264 + 1907448258816 = 1304208^2 + 1381104^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3301378014 + ... + 3301379106.

Almost surely, 2^{3608406766080} is an apocalyptic number.

3608406766080 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 3608406766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825701888280).

3608406766080 is an abundant number, since it is smaller than the sum of its proper divisors (10042997010480).

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

3608406766080 is an equidigital number, since it uses as much as digits as its factorization.

3608406766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3608406766080 in words is "three trillion, six hundred eight billion, four hundred six million, seven hundred sixty-six thousand, eighty".