3725768244096 has 1280 divisors, whose sum is σ = 12475641150720. Its totient is φ = 1098842112000.

The previous prime is 3725768244089. The next prime is 3725768244137. The reversal of 3725768244096 is 6904428675273.

3725768244096 is a `hidden beast` number, since 3 + 7 + 25 + 7 + 6 + 82 + 440 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36888794446 + ... + 36888794546.

It is an arithmetic number, because the mean of its divisors is an integer number (9746594649).

Almost surely, 2^{3725768244096} is an apocalyptic number.

3725768244096 is a gapful number since it is divisible by the number (36) 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 3725768244096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237820575360).

3725768244096 is an abundant number, since it is smaller than the sum of its proper divisors (8749872906624).

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

3725768244096 is a wasteful number, since it uses less digits than its factorization.

3725768244096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 3725768244096 in words is "three trillion, seven hundred twenty-five billion, seven hundred sixty-eight million, two hundred forty-four thousand, ninety-six".