3628680 has 64 divisors (see below), whose sum is σ = 11880000. Its totient is φ = 879360.

The previous prime is 3628679. The next prime is 3628697. The reversal of 3628680 is 868263.

It is a super-3 number, since 3×3628680³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55 + ... + 2694.

It is an arithmetic number, because the mean of its divisors is an integer number (185625).

Almost surely, 2^3628680 is an apocalyptic number.

3628680 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 3628680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940000).

3628680 is an abundant number, since it is smaller than the sum of its proper divisors (8251320).

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

3628680 is a wasteful number, since it uses less digits than its factorization.

3628680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3628680 is about 1904.9094466667. The cubic root of 3628680 is about 153.6678058920.

The spelling of 3628680 in words is "three million, six hundred twenty-eight thousand, six hundred eighty".