3690668616960 has 432 divisors, whose sum is σ = 13060441525824. Its totient is φ = 887338303488.

The previous prime is 3690668616949. The next prime is 3690668616979. The reversal of 3690668616960 is 696168660963.

It is a junction number, because it is equal to n+sod(n) for n = 3690668616891 and 3690668616900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27839152 + ... + 27971408.

It is an arithmetic number, because the mean of its divisors is an integer number (30232503532).

Almost surely, 2^{3690668616960} is an apocalyptic number.

3690668616960 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 3690668616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530220762912).

3690668616960 is an abundant number, since it is smaller than the sum of its proper divisors (9369772908864).

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

3690668616960 is a wasteful number, since it uses less digits than its factorization.

3690668616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132350 (or 132323 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 66.

The spelling of 3690668616960 in words is "three trillion, six hundred ninety billion, six hundred sixty-eight million, six hundred sixteen thousand, nine hundred sixty".