3794439826320 has 1280 divisors, whose sum is σ = 15087354347520. Its totient is φ = 774763315200.

The previous prime is 3794439826297. The next prime is 3794439826321. The reversal of 3794439826320 is 236289344973.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3794439826321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6812279482 + ... + 6812280038.

It is an arithmetic number, because the mean of its divisors is an integer number (11786995584).

Almost surely, 2^{3794439826320} is an apocalyptic number.

3794439826320 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 3794439826320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7543677173760).

3794439826320 is an abundant number, since it is smaller than the sum of its proper divisors (11292914521200).

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

3794439826320 is a wasteful number, since it uses less digits than its factorization.

3794439826320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 60.

The spelling of 3794439826320 in words is "three trillion, seven hundred ninety-four billion, four hundred thirty-nine million, eight hundred twenty-six thousand, three hundred twenty".