3680825400 has 288 divisors, whose sum is σ = 14361952800. Its totient is φ = 827366400.

The previous prime is 3680825383. The next prime is 3680825417. The reversal of 3680825400 is 45280863.

3680825400 is a `hidden beast` number, since 36 + 8 + 0 + 82 + 540 + 0 = 666.

3680825400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3680825383) and next prime (3680825417).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 766206 + ... + 770994.

Almost surely, 2^3680825400 is an apocalyptic number.

3680825400 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 3680825400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180976400).

3680825400 is an abundant number, since it is smaller than the sum of its proper divisors (10681127400).

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

3680825400 is a wasteful number, since it uses less digits than its factorization.

3680825400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4879 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3680825400 is about 60669.8063290134. The cubic root of 3680825400 is about 1544.0039452860.

The spelling of 3680825400 in words is "three billion, six hundred eighty million, eight hundred twenty-five thousand, four hundred".