3795344290080 has 576 divisors, whose sum is σ = 15509727797760. Its totient is φ = 864293068800.

The previous prime is 3795344290079. The next prime is 3795344290093. The reversal of 3795344290080 is 800924435973.

3795344290080 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 344 + 290 + 0 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3795344289999 and 3795344290026.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57332200 + ... + 57398360.

It is an arithmetic number, because the mean of its divisors is an integer number (26926610760).

Almost surely, 2^{3795344290080} is an apocalyptic number.

3795344290080 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 3795344290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754863898880).

3795344290080 is an abundant number, since it is smaller than the sum of its proper divisors (11714383507680).

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

3795344290080 is a wasteful number, since it uses less digits than its factorization.

3795344290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66470 (or 66449 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3795344290080 in words is "three trillion, seven hundred ninety-five billion, three hundred forty-four million, two hundred ninety thousand, eighty".