3662232480 has 384 divisors, whose sum is σ = 13873628160. Its totient is φ = 898744320.

The previous prime is 3662232439. The next prime is 3662232493. The reversal of 3662232480 is 842322663.

3662232480 is a `hidden beast` number, since 3 + 6 + 622 + 3 + 24 + 8 + 0 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3451150 + ... + 3452210.

It is an arithmetic number, because the mean of its divisors is an integer number (36129240).

Almost surely, 2^3662232480 is an apocalyptic number.

3662232480 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 3662232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936814080).

3662232480 is an abundant number, since it is smaller than the sum of its proper divisors (10211395680).

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

3662232480 is a wasteful number, since it uses less digits than its factorization.

3662232480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3662232480 is about 60516.3819143213. The cubic root of 3662232480 is about 1541.3998179025.

The spelling of 3662232480 in words is "three billion, six hundred sixty-two million, two hundred thirty-two thousand, four hundred eighty".