3613884480 has 336 divisors, whose sum is σ = 13260409344. Its totient is φ = 900218880.

The previous prime is 3613884479. The next prime is 3613884517. The reversal of 3613884480 is 844883163.

3613884480 is a `hidden beast` number, since 3 + 61 + 38 + 84 + 480 = 666.

It is a super-2 number, since 2×3613884480² = 26120322069569740800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10917915 + ... + 10918245.

It is an arithmetic number, because the mean of its divisors is an integer number (39465504).

Almost surely, 2^3613884480 is an apocalyptic number.

3613884480 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 3613884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630204672).

3613884480 is an abundant number, since it is smaller than the sum of its proper divisors (9646524864).

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

3613884480 is a wasteful number, since it uses less digits than its factorization.

3613884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3613884480 is about 60115.5926528218. The cubic root of 3613884480 is about 1534.5866719508.

It can be divided in two parts, 361 and 3884480, that added together give a square (3884841 = 1971²).

The spelling of 3613884480 in words is "three billion, six hundred thirteen million, eight hundred eighty-four thousand, four hundred eighty".