3765945047040 has 1152 divisors, whose sum is σ = 14525693582400. Its totient is φ = 894786600960.

The previous prime is 3765945047023. The next prime is 3765945047069. The reversal of 3765945047040 is 407405495673.

3765945047040 is a `hidden beast` number, since 3 + 7 + 6 + 5 + 94 + 504 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19116472222 + ... + 19116472418.

Almost surely, 2^{3765945047040} is an apocalyptic number.

3765945047040 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 3765945047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262846791200).

3765945047040 is an abundant number, since it is smaller than the sum of its proper divisors (10759748535360).

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

3765945047040 is a wasteful number, since it uses less digits than its factorization.

3765945047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 3765945047040 in words is "three trillion, seven hundred sixty-five billion, nine hundred forty-five million, forty-seven thousand, forty".