3667449377280 has 640 divisors, whose sum is σ = 13021329581568. Its totient is φ = 874713710592.

The previous prime is 3667449377239. The next prime is 3667449377363. The reversal of 3667449377280 is 827739447663.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3667449377280² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 949376629 + ... + 949380491.

Almost surely, 2^{3667449377280} is an apocalyptic number.

3667449377280 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 3667449377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510664790784).

3667449377280 is an abundant number, since it is smaller than the sum of its proper divisors (9353880204288).

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

3667449377280 is a wasteful number, since it uses less digits than its factorization.

3667449377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 66.

The spelling of 3667449377280 in words is "three trillion, six hundred sixty-seven billion, four hundred forty-nine million, three hundred seventy-seven thousand, two hundred eighty".