3766242686400 has 504 divisors, whose sum is σ = 13480584062400. Its totient is φ = 997269504000.

The previous prime is 3766242686359. The next prime is 3766242686441. The reversal of 3766242686400 is 46862426673.

3766242686400 is a `hidden beast` number, since 3 + 7 + 6 + 624 + 2 + 6 + 8 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3766242686359) and next prime (3766242686441).

It is a super-2 number, since 2×3766242686400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1380080236 + ... + 1380082964.

It is an arithmetic number, because the mean of its divisors is an integer number (26747190600).

Almost surely, 2^{3766242686400} is an apocalyptic number.

3766242686400 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 3766242686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740292031200).

3766242686400 is an abundant number, since it is smaller than the sum of its proper divisors (9714341376000).

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

3766242686400 is a wasteful number, since it uses less digits than its factorization.

3766242686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3766242686400 in words is "three trillion, seven hundred sixty-six billion, two hundred forty-two million, six hundred eighty-six thousand, four hundred".