3909012765504 has 1344 divisors, whose sum is σ = 13888027754496. Its totient is φ = 948423168000.

The previous prime is 3909012765479. The next prime is 3909012765509. The reversal of 3909012765504 is 4055672109093.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3909012765509) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23981673327 + ... + 23981673489.

It is an arithmetic number, because the mean of its divisors is an integer number (10333353984).

Almost surely, 2^{3909012765504} 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 3909012765504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944013877248).

3909012765504 is an abundant number, since it is smaller than the sum of its proper divisors (9979014988992).

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

3909012765504 is a wasteful number, since it uses less digits than its factorization.

3909012765504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 3909012765504 in words is "three trillion, nine hundred nine billion, twelve million, seven hundred sixty-five thousand, five hundred four".