3795639097600 has 567 divisors, whose sum is σ = 11117135244481. Its totient is φ = 1283032934400.

The previous prime is 3795639097567. The next prime is 3795639097639. The reversal of 3795639097600 is 67909365973.

The square root of 3795639097600 is 1948240.

It is a perfect power (a square), and thus also a powerful number.

3795639097600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1366430075136 + 2429209022464 = 1168944^2 + 1558592^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 53459705565 + ... + 53459705635.

Almost surely, 2^{3795639097600} is an apocalyptic number.

3795639097600 is the 1948240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3795639097600

3795639097600 is an abundant number, since it is smaller than the sum of its proper divisors (7321496146881).

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

3795639097600 is an frugal number, since it uses more digits than its factorization.

3795639097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 57868020, while the sum is 64.

Multiplying 3795639097600 by its sum of digits (64), we get a square (242920902246400 = 15585920²).

3795639097600 divided by its sum of digits (64) gives a square (59306860900 = 243530²).

The spelling of 3795639097600 in words is "three trillion, seven hundred ninety-five billion, six hundred thirty-nine million, ninety-seven thousand, six hundred".