3661078087680 has 384 divisors, whose sum is σ = 13162006690560. Its totient is φ = 862004183040.

The previous prime is 3661078087649. The next prime is 3661078087687. The reversal of 3661078087680 is 867808701663.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3661078087687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8985990 + ... + 9384570.

It is an arithmetic number, because the mean of its divisors is an integer number (34276059090).

Almost surely, 2^{3661078087680} is an apocalyptic number.

3661078087680 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 3661078087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581003345280).

3661078087680 is an abundant number, since it is smaller than the sum of its proper divisors (9500928602880).

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

3661078087680 is a wasteful number, since it uses less digits than its factorization.

3661078087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398647 (or 398627 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 3661078087680 in words is "three trillion, six hundred sixty-one billion, seventy-eight million, eighty-seven thousand, six hundred eighty".