3768009537600 has 1344 divisors, whose sum is σ = 17192885299200. Its totient is φ = 779867136000.

The previous prime is 3768009537463. The next prime is 3768009537629. The reversal of 3768009537600 is 67359008673.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-5 number, since 5×3768009537600⁵ (a number of 64 digits) contains 55555 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 894799495 + ... + 894803705.

Almost surely, 2^{3768009537600} is an apocalyptic number.

3768009537600 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 3768009537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596442649600).

3768009537600 is an abundant number, since it is smaller than the sum of its proper divisors (13424875761600).

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

3768009537600 is a wasteful number, since it uses less digits than its factorization.

3768009537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 3768009537600 in words is "three trillion, seven hundred sixty-eight billion, nine million, five hundred thirty-seven thousand, six hundred".