3743932039680 has 1920 divisors, whose sum is σ = 15326104780800. Its totient is φ = 778386309120.

The previous prime is 3743932039669. The next prime is 3743932039703. The reversal of 3743932039680 is 869302393473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 3743932039680.

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, 29479779777 + ... + 29479779903.

It is an arithmetic number, because the mean of its divisors is an integer number (7982346240).

Almost surely, 2^{3743932039680} is an apocalyptic number.

3743932039680 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 3743932039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663052390400).

3743932039680 is an abundant number, since it is smaller than the sum of its proper divisors (11582172741120).

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

3743932039680 is a wasteful number, since it uses less digits than its factorization.

3743932039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 57.

The spelling of 3743932039680 in words is "three trillion, seven hundred forty-three billion, nine hundred thirty-two million, thirty-nine thousand, six hundred eighty".