3754060377984 has 192 divisors, whose sum is σ = 12349115226240. Its totient is φ = 1072313054208.

The previous prime is 3754060377931. The next prime is 3754060378039. The reversal of 3754060377984 is 4897730604573.

3754060377984 is a `hidden beast` number, since 3 + 7 + 540 + 6 + 0 + 3 + 7 + 7 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32415927 + ... + 32531529.

It is an arithmetic number, because the mean of its divisors is an integer number (64318308470).

Almost surely, 2^{3754060377984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3754060377984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174557613120).

3754060377984 is an abundant number, since it is smaller than the sum of its proper divisors (8595054848256).

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

3754060377984 is a wasteful number, since it uses less digits than its factorization.

3754060377984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119657 (or 119642 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 3754060377984 in words is "three trillion, seven hundred fifty-four billion, sixty million, three hundred seventy-seven thousand, nine hundred eighty-four".