3780209274624 has 216 divisors, whose sum is σ = 11318592645360. Its totient is φ = 1260054641664.

The previous prime is 3780209274623. The next prime is 3780209274629. The reversal of 3780209274624 is 4264729020873.

3780209274624 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 2 + 0 + 9 + 2 + 7 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780209274623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45307954 + ... + 45391310.

Almost surely, 2^{3780209274624} 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 3780209274624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659296322680).

3780209274624 is an abundant number, since it is smaller than the sum of its proper divisors (7538383370736).

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

3780209274624 is an frugal number, since it uses more digits than its factorization.

3780209274624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83406 (or 83362 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3780209274624 in words is "three trillion, seven hundred eighty billion, two hundred nine million, two hundred seventy-four thousand, six hundred twenty-four".