3662374224600 has 2880 divisors, whose sum is σ = 16606187136000. Its totient is φ = 731715379200.

The previous prime is 3662374224563. The next prime is 3662374224601. The reversal of 3662374224600 is 64224732663.

It is a happy number.

3662374224600 is a `hidden beast` number, since 3 + 6 + 6 + 2 + 37 + 4 + 2 + 2 + 4 + 600 = 666.

It is a super-2 number, since 2×3662374224600² (a number of 26 digits) 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 not an unprimeable number, because it can be changed into a prime (3662374224601) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 46359167361 + ... + 46359167439.

It is an arithmetic number, because the mean of its divisors is an integer number (5766037200).

Almost surely, 2^{3662374224600} is an apocalyptic number.

3662374224600 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 3662374224600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303093568000).

3662374224600 is an abundant number, since it is smaller than the sum of its proper divisors (12943812911400).

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

3662374224600 is a wasteful number, since it uses less digits than its factorization.

3662374224600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 3662374224600 in words is "three trillion, six hundred sixty-two billion, three hundred seventy-four million, two hundred twenty-four thousand, six hundred".