3796746770304 has 512 divisors, whose sum is σ = 12061938355200. Its totient is φ = 1171434700800.

The previous prime is 3796746770303. The next prime is 3796746770459. The reversal of 3796746770304 is 4030776476973.

3796746770304 is a `hidden beast` number, since 3 + 79 + 6 + 7 + 467 + 70 + 30 + 4 = 666.

It is a super-4 number, since 4×3796746770304⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3796746770303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2173294359 + ... + 2173296105.

It is an arithmetic number, because the mean of its divisors is an integer number (23558473350).

Almost surely, 2^{3796746770304} is an apocalyptic number.

3796746770304 is a gapful number since it is divisible by the number (34) 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 3796746770304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030969177600).

3796746770304 is an abundant number, since it is smaller than the sum of its proper divisors (8265191584896).

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

3796746770304 is a wasteful number, since it uses less digits than its factorization.

3796746770304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 112021056, while the sum is 63.

The spelling of 3796746770304 in words is "three trillion, seven hundred ninety-six billion, seven hundred forty-six million, seven hundred seventy thousand, three hundred four".