3662272800 has 324 divisors, whose sum is σ = 13639224690. Its totient is φ = 924549120.

The previous prime is 3662272777. The next prime is 3662272813. The reversal of 3662272800 is 82722663.

3662272800 is a `hidden beast` number, since 3 + 6 + 622 + 7 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1520064144 + 2142208656 = 38988^2 + 46284^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2598496 + ... + 2599904.

Almost surely, 2^3662272800 is an apocalyptic number.

3662272800 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 3662272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819612345).

3662272800 is an abundant number, since it is smaller than the sum of its proper divisors (9976951890).

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

3662272800 is a wasteful number, since it uses less digits than its factorization.

3662272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3662272800 is about 60516.7150463407. The cubic root of 3662272800 is about 1541.4054746536.

The spelling of 3662272800 in words is "three billion, six hundred sixty-two million, two hundred seventy-two thousand, eight hundred".