3780962919360 has 560 divisors, whose sum is σ = 14714664703200. Its totient is φ = 913946664960.

The previous prime is 3780962919337. The next prime is 3780962919361. The reversal of 3780962919360 is 639192690873.

3780962919360 is a `hidden beast` number, since 378 + 0 + 96 + 2 + 91 + 93 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780962919361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99487882 + ... + 99525878.

It is an arithmetic number, because the mean of its divisors is an integer number (26276186970).

Almost surely, 2^{3780962919360} is an apocalyptic number.

3780962919360 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 3780962919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357332351600).

3780962919360 is an abundant number, since it is smaller than the sum of its proper divisors (10933701783840).

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

3780962919360 is a wasteful number, since it uses less digits than its factorization.

3780962919360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38386 (or 38367 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 3780962919360 in words is "three trillion, seven hundred eighty billion, nine hundred sixty-two million, nine hundred nineteen thousand, three hundred sixty".