3785929493760 has 576 divisors, whose sum is σ = 14174485920000. Its totient is φ = 954240860160.

The previous prime is 3785929493711. The next prime is 3785929493761. The reversal of 3785929493760 is 673949295873.

3785929493760 is a `hidden beast` number, since 3 + 7 + 8 + 59 + 29 + 493 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785929493761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294824940 + ... + 294837780.

It is an arithmetic number, because the mean of its divisors is an integer number (24608482500).

Almost surely, 2^{3785929493760} is an apocalyptic number.

3785929493760 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 3785929493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087242960000).

3785929493760 is an abundant number, since it is smaller than the sum of its proper divisors (10388556426240).

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

3785929493760 is a wasteful number, since it uses less digits than its factorization.

3785929493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13339 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 3785929493760 in words is "three trillion, seven hundred eighty-five billion, nine hundred twenty-nine million, four hundred ninety-three thousand, seven hundred sixty".