3682221480 has 384 divisors, whose sum is σ = 14161754880. Its totient is φ = 812298240.

The previous prime is 3682221461. The next prime is 3682221493. The reversal of 3682221480 is 841222863.

3682221480 is a `hidden beast` number, since 368 + 2 + 2 + 214 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16221127 + ... + 16221353.

It is an arithmetic number, because the mean of its divisors is an integer number (36879570).

Almost surely, 2^3682221480 is an apocalyptic number.

3682221480 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 3682221480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080877440).

3682221480 is an abundant number, since it is smaller than the sum of its proper divisors (10479533400).

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

3682221480 is a wasteful number, since it uses less digits than its factorization.

3682221480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3682221480 is about 60681.3107966530. The cubic root of 3682221480 is about 1544.1991261968.

The spelling of 3682221480 in words is "three billion, six hundred eighty-two million, two hundred twenty-one thousand, four hundred eighty".