3602334228480 has 1400 divisors, whose sum is σ = 14776868413692. Its totient is φ = 834567929856.

The previous prime is 3602334228457. The next prime is 3602334228503. The reversal of 3602334228480 is 848224332063.

3602334228480 is a `hidden beast` number, since 3 + 6 + 0 + 23 + 342 + 284 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3602334228457) and next prime (3602334228503).

It can be written as a sum of positive squares in 10 ways, for example, as 366480101376 + 3235854127104 = 605376^2 + 1798848^2 .

It is a super-2 number, since 2×3602334228480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 99 ways as a sum of consecutive naturals, for example, 211902013432 + ... + 211902013448.

Almost surely, 2^{3602334228480} is an apocalyptic number.

3602334228480 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 3602334228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388434206846).

3602334228480 is an abundant number, since it is smaller than the sum of its proper divisors (11174534185212).

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

3602334228480 is an frugal number, since it uses more digits than its factorization.

3602334228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3602334228480 in words is "three trillion, six hundred two billion, three hundred thirty-four million, two hundred twenty-eight thousand, four hundred eighty".