39489638400 has 819 divisors, whose sum is σ = 153477216109. Its totient is φ = 10072719360.

The previous prime is 39489638389. The next prime is 39489638407. The reversal of 39489638400 is 483698493.

It is a happy number.

The square root of 39489638400 is 198720.

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

It can be written as a sum of positive squares in only one way, i.e., 14216269824 + 25273368576 = 119232^2 + 158976^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39489638407) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1716940789 + ... + 1716940811.

Almost surely, 2^39489638400 is an apocalyptic number.

39489638400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

39489638400 is the 198720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39489638400

39489638400 is an abundant number, since it is smaller than the sum of its proper divisors (113987577709).

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

39489638400 is an frugal number, since it uses more digits than its factorization.

39489638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 39489638400 in words is "thirty-nine billion, four hundred eighty-nine million, six hundred thirty-eight thousand, four hundred".