3602893851648 has 2640 divisors, whose sum is σ = 14721286752480. Its totient is φ = 866843099136.

The previous prime is 3602893851617. The next prime is 3602893851707. The reversal of 3602893851648 is 8461583982063.

It is a happy number.

3602893851648 is a `hidden beast` number, since 3 + 6 + 0 + 2 + 89 + 38 + 516 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37143235536 + ... + 37143235632.

It is an arithmetic number, because the mean of its divisors is an integer number (5576244982).

Almost surely, 2^{3602893851648} is an apocalyptic number.

3602893851648 is a gapful number since it is divisible by the number (38) 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 3602893851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360643376240).

3602893851648 is an abundant number, since it is smaller than the sum of its proper divisors (11118392900832).

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

3602893851648 is a wasteful number, since it uses less digits than its factorization.

3602893851648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 3602893851648 in words is "three trillion, six hundred two billion, eight hundred ninety-three million, eight hundred fifty-one thousand, six hundred forty-eight".