3748976985600 has 2160 divisors, whose sum is σ = 17173312556400. Its totient is φ = 772286054400.

The previous prime is 3748976985529. The next prime is 3748976985623. The reversal of 3748976985600 is 65896798473.

3748976985600 is a `hidden beast` number, since 3 + 7 + 4 + 8 + 9 + 7 + 6 + 9 + 8 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10742054226 + ... + 10742054574.

It is an arithmetic number, because the mean of its divisors is an integer number (7950607665).

Almost surely, 2^{3748976985600} is an apocalyptic number.

3748976985600 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 3748976985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8586656278200).

3748976985600 is an abundant number, since it is smaller than the sum of its proper divisors (13424335570800).

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

3748976985600 is a wasteful number, since it uses less digits than its factorization.

3748976985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 3748976985600 in words is "three trillion, seven hundred forty-eight billion, nine hundred seventy-six million, nine hundred eighty-five thousand, six hundred".