29680398400 has 189 divisors, whose sum is σ = 75322774551. Its totient is φ = 11511060480.

The previous prime is 29680398383. The next prime is 29680398403. The reversal of 29680398400 is 489308692.

The square root of 29680398400 is 172280.

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 162409536 + 29517988864 = 12744^2 + 171808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29680398403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 406580764 + ... + 406580836.

Almost surely, 2^29680398400 is an apocalyptic number.

29680398400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29680398400 is the 172280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29680398400

29680398400 is an abundant number, since it is smaller than the sum of its proper divisors (45642376151).

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

29680398400 is an frugal number, since it uses more digits than its factorization.

29680398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 29680398400 by its sum of digits (49), we get a square (1454339521600 = 1205960²).

The spelling of 29680398400 in words is "twenty-nine billion, six hundred eighty million, three hundred ninety-eight thousand, four hundred".