3621688416 has 192 divisors, whose sum is σ = 10969136640. Its totient is φ = 1161699840.

The previous prime is 3621688409. The next prime is 3621688423. The reversal of 3621688416 is 6148861263.

3621688416 is a `hidden beast` number, since 3 + 621 + 6 + 8 + 8 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (3621688409) and next prime (3621688423).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2637106 + ... + 2638478.

It is an arithmetic number, because the mean of its divisors is an integer number (57130920).

Almost surely, 2^3621688416 is an apocalyptic number.

3621688416 is a gapful number since it is divisible by the number (36) 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 3621688416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484568320).

3621688416 is an abundant number, since it is smaller than the sum of its proper divisors (7347448224).

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

3621688416 is a wasteful number, since it uses less digits than its factorization.

3621688416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1492 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 3621688416 is about 60180.4654019890. The cubic root of 3621688416 is about 1535.6904893943.

The spelling of 3621688416 in words is "three billion, six hundred twenty-one million, six hundred eighty-eight thousand, four hundred sixteen".