3814790616000 has 2688 divisors, whose sum is σ = 18411998492160. Its totient is φ = 730791936000.

The previous prime is 3814790615981. The next prime is 3814790616011. The reversal of 3814790616000 is 6160974183.

It is a happy number.

3814790616000 is a `hidden beast` number, since 38 + 1 + 4 + 7 + 9 + 0 + 6 + 1 + 600 + 0 = 666.

3814790616000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3230135410 + ... + 3230136590.

It is an arithmetic number, because the mean of its divisors is an integer number (6849701820).

Almost surely, 2^{3814790616000} is an apocalyptic number.

3814790616000 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 3814790616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9205999246080).

3814790616000 is an abundant number, since it is smaller than the sum of its proper divisors (14597207876160).

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

3814790616000 is a wasteful number, since it uses less digits than its factorization.

3814790616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 3814790616000 in words is "three trillion, eight hundred fourteen billion, seven hundred ninety million, six hundred sixteen thousand".