3766284060000 has 1920 divisors, whose sum is σ = 15961610649600. Its totient is φ = 770515200000.

The previous prime is 3766284059999. The next prime is 3766284060059. The reversal of 3766284060000 is 604826673.

It is a super-2 number, since 2×3766284060000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 28750259935 + ... + 28750260065.

It is an arithmetic number, because the mean of its divisors is an integer number (8313338880).

Almost surely, 2^{3766284060000} is an apocalyptic number.

3766284060000 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 3766284060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980805324800).

3766284060000 is an abundant number, since it is smaller than the sum of its proper divisors (12195326589600).

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

3766284060000 is a wasteful number, since it uses less digits than its factorization.

3766284060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

Adding to 3766284060000 its reverse (604826673), we get a palindrome (3766888886673).

The spelling of 3766284060000 in words is "three trillion, seven hundred sixty-six billion, two hundred eighty-four million, sixty thousand".