3680421624 has 192 divisors, whose sum is σ = 11387376000. Its totient is φ = 1104347520.

The previous prime is 3680421617. The next prime is 3680421673. The reversal of 3680421624 is 4261240863.

3680421624 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 4 + 21 + 624 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2330067 + ... + 2331645.

It is an arithmetic number, because the mean of its divisors is an integer number (59309250).

Almost surely, 2^3680421624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680421624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693688000).

3680421624 is an abundant number, since it is smaller than the sum of its proper divisors (7706954376).

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

3680421624 is a wasteful number, since it uses less digits than its factorization.

3680421624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3680421624 is about 60666.4785857890. The cubic root of 3680421624 is about 1543.9474856185.

The spelling of 3680421624 in words is "three billion, six hundred eighty million, four hundred twenty-one thousand, six hundred twenty-four".