39378433600 has 315 divisors, whose sum is σ = 109247478355. Its totient is φ = 13970176000.

The previous prime is 39378433579. The next prime is 39378433613. The reversal of 39378433600 is 633487393.

The square root of 39378433600 is 198440.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16575017536 + 22803416064 = 128744^2 + 151008^2 .

It is a super-2 number, since 2×39378433600² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 960449580 + ... + 960449620.

Almost surely, 2^39378433600 is an apocalyptic number.

39378433600 is the 198440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39378433600

39378433600 is an abundant number, since it is smaller than the sum of its proper divisors (69869044755).

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

39378433600 is an frugal number, since it uses more digits than its factorization.

39378433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 46.

The spelling of 39378433600 in words is "thirty-nine billion, three hundred seventy-eight million, four hundred thirty-three thousand, six hundred".