3628465680 has 480 divisors, whose sum is σ = 13923394560. Its totient is φ = 778014720.

The previous prime is 3628465667. The next prime is 3628465691. The reversal of 3628465680 is 865648263.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13488586 + ... + 13488854.

It is an arithmetic number, because the mean of its divisors is an integer number (29007072).

Almost surely, 2^3628465680 is an apocalyptic number.

3628465680 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 3628465680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961697280).

3628465680 is an abundant number, since it is smaller than the sum of its proper divisors (10294928880).

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

3628465680 is a wasteful number, since it uses less digits than its factorization.

3628465680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 3628465680 is about 60236.7469241160. The cubic root of 3628465680 is about 1536.6478048220.

The spelling of 3628465680 in words is "three billion, six hundred twenty-eight million, four hundred sixty-five thousand, six hundred eighty".