3628676880 has 400 divisors, whose sum is σ = 13339396224. Its totient is φ = 912384000.

The previous prime is 3628676879. The next prime is 3628676963. The reversal of 3628676880 is 886768263.

It is a happy number.

3628676880 is a `hidden beast` number, since 3 + 628 + 6 + 7 + 6 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×3628676880³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14456755 + ... + 14457005.

Almost surely, 2^3628676880 is an apocalyptic number.

3628676880 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 3628676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6669698112).

3628676880 is an abundant number, since it is smaller than the sum of its proper divisors (9710719344).

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

3628676880 is a wasteful number, since it uses less digits than its factorization.

3628676880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3628676880 is about 60238.4999813242. The cubic root of 3628676880 is about 1536.6776184998.

The spelling of 3628676880 in words is "three billion, six hundred twenty-eight million, six hundred seventy-six thousand, eight hundred eighty".