3642210883584 has 1920 divisors, whose sum is σ = 14221039472640. Its totient is φ = 902961561600.

The previous prime is 3642210883537. The next prime is 3642210883631. The reversal of 3642210883584 is 4853880122463.

3642210883584 is a `hidden beast` number, since 3 + 6 + 42 + 2 + 10 + 8 + 8 + 3 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (3642210883537) and next prime (3642210883631).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3642210883584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20122711974 + ... + 20122712154.

It is an arithmetic number, because the mean of its divisors is an integer number (7406791392).

Almost surely, 2^{3642210883584} 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 3642210883584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110519736320).

3642210883584 is an abundant number, since it is smaller than the sum of its proper divisors (10578828589056).

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

3642210883584 is a wasteful number, since it uses less digits than its factorization.

3642210883584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 3642210883584 in words is "three trillion, six hundred forty-two billion, two hundred ten million, eight hundred eighty-three thousand, five hundred eighty-four".