3662877456 has 320 divisors, whose sum is σ = 12997580800. Its totient is φ = 964099584.

The previous prime is 3662877401. The next prime is 3662877467. The reversal of 3662877456 is 6547782663.

3662877456 is a `hidden beast` number, since 3 + 6 + 628 + 7 + 7 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 2125011 + ... + 2126733.

It is an arithmetic number, because the mean of its divisors is an integer number (40617440).

Almost surely, 2^3662877456 is an apocalyptic number.

3662877456 is a gapful number since it is divisible by the number (36) 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 3662877456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498790400).

3662877456 is an abundant number, since it is smaller than the sum of its proper divisors (9334703344).

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

3662877456 is a wasteful number, since it uses less digits than its factorization.

3662877456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1791 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 3662877456 is about 60521.7106169348. The cubic root of 3662877456 is about 1541.4903007375.

The spelling of 3662877456 in words is "three billion, six hundred sixty-two million, eight hundred seventy-seven thousand, four hundred fifty-six".