3670778200320 has 1728 divisors, whose sum is σ = 16559049024000. Its totient is φ = 753653514240.

The previous prime is 3670778200289. The next prime is 3670778200333. The reversal of 3670778200320 is 230028770763.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3670778200320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2605235776 + ... + 2605237184.

It is an arithmetic number, because the mean of its divisors is an integer number (9582783000).

Almost surely, 2^{3670778200320} is an apocalyptic number.

3670778200320 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 3670778200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279524512000).

3670778200320 is an abundant number, since it is smaller than the sum of its proper divisors (12888270823680).

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

3670778200320 is a wasteful number, since it uses less digits than its factorization.

3670778200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 3670778200320 in words is "three trillion, six hundred seventy billion, seven hundred seventy-eight million, two hundred thousand, three hundred twenty".