3642266880 has 648 divisors, whose sum is σ = 15198333696. Its totient is φ = 788520960.

The previous prime is 3642266863. The next prime is 3642266933. The reversal of 3642266880 is 886622463.

3642266880 is a `hidden beast` number, since 364 + 226 + 68 + 8 + 0 = 666.

It is a super-2 number, since 2×3642266880² = 26532216050289868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77495017 + ... + 77495063.

Almost surely, 2^3642266880 is an apocalyptic number.

3642266880 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 3642266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599166848).

3642266880 is an abundant number, since it is smaller than the sum of its proper divisors (11556066816).

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

3642266880 is a wasteful number, since it uses less digits than its factorization.

3642266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3642266880 is about 60351.1961770436. The cubic root of 3642266880 is about 1538.5935999046.

The spelling of 3642266880 in words is "three billion, six hundred forty-two million, two hundred sixty-six thousand, eight hundred eighty".