3748600075680 has 288 divisors, whose sum is σ = 13345338674304. Its totient is φ = 993639177216.

The previous prime is 3748600075543. The next prime is 3748600075691. The reversal of 3748600075680 is 865700068473.

3748600075680 is a `hidden beast` number, since 3 + 74 + 8 + 6 + 0 + 0 + 0 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 6204294 + ... + 6781626.

It is an arithmetic number, because the mean of its divisors is an integer number (46337981508).

Almost surely, 2^{3748600075680} is an apocalyptic number.

3748600075680 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 3748600075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672669337152).

3748600075680 is an abundant number, since it is smaller than the sum of its proper divisors (9596738598624).

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

3748600075680 is a wasteful number, since it uses less digits than its factorization.

3748600075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577530 (or 577510 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 3748600075680 in words is "three trillion, seven hundred forty-eight billion, six hundred million, seventy-five thousand, six hundred eighty".