3754865387520 has 2304 divisors, whose sum is σ = 16175535667200. Its totient is φ = 794988380160.

The previous prime is 3754865387509. The next prime is 3754865387563. The reversal of 3754865387520 is 257835684573.

3754865387520 is a `hidden beast` number, since 3 + 7 + 5 + 4 + 8 + 6 + 538 + 75 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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, 11996374884 + ... + 11996375196.

It is an arithmetic number, because the mean of its divisors is an integer number (7020631800).

Almost surely, 2^{3754865387520} is an apocalyptic number.

3754865387520 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 3754865387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087767833600).

3754865387520 is an abundant number, since it is smaller than the sum of its proper divisors (12420670279680).

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

3754865387520 is a wasteful number, since it uses less digits than its factorization.

3754865387520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 3754865387520 in words is "three trillion, seven hundred fifty-four billion, eight hundred sixty-five million, three hundred eighty-seven thousand, five hundred twenty".