3678222804480 has 3360 divisors, whose sum is σ = 16978717087200. Its totient is φ = 758487711744.

The previous prime is 3678222804463. The next prime is 3678222804521. The reversal of 3678222804480 is 844082228763.

3678222804480 is a `hidden beast` number, since 3 + 6 + 7 + 82 + 2 + 2 + 80 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 50386613724 + ... + 50386613796.

Almost surely, 2^{3678222804480} is an apocalyptic number.

3678222804480 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 3678222804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8489358543600).

3678222804480 is an abundant number, since it is smaller than the sum of its proper divisors (13300494282720).

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

3678222804480 is an equidigital number, since it uses as much as digits as its factorization.

3678222804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 3678222804480 in words is "three trillion, six hundred seventy-eight billion, two hundred twenty-two million, eight hundred four thousand, four hundred eighty".