3628377423360 has 960 divisors, whose sum is σ = 13619012666688. Its totient is φ = 889435717632.

The previous prime is 3628377423353. The next prime is 3628377423361. The reversal of 3628377423360 is 633247738263.

3628377423360 is a `hidden beast` number, since 3 + 6 + 283 + 7 + 74 + 233 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 3628377423297 and 3628377423306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628377423361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3230967759 + ... + 3230968881.

Almost surely, 2^{3628377423360} is an apocalyptic number.

3628377423360 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 3628377423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809506333344).

3628377423360 is an abundant number, since it is smaller than the sum of its proper divisors (9990635243328).

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

3628377423360 is a wasteful number, since it uses less digits than its factorization.

3628377423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 3628377423360 in words is "three trillion, six hundred twenty-eight billion, three hundred seventy-seven million, four hundred twenty-three thousand, three hundred sixty".