3780919296000 has 2880 divisors, whose sum is σ = 18051074705664. Its totient is φ = 764411904000.

The previous prime is 3780919295981. The next prime is 3780919296013. The reversal of 3780919296000 is 6929190873.

3780919296000 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 9 + 1 + 9 + 29 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 102187007982 + ... + 102187008018.

Almost surely, 2^{3780919296000} is an apocalyptic number.

3780919296000 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 3780919296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9025537352832).

3780919296000 is an abundant number, since it is smaller than the sum of its proper divisors (14270155409664).

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

3780919296000 is an frugal number, since it uses more digits than its factorization.

3780919296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 3780919296000 in words is "three trillion, seven hundred eighty billion, nine hundred nineteen million, two hundred ninety-six thousand".