1629736900 has 81 divisors (see below), whose sum is σ = 3897880077. Its totient is φ = 591016800.

The previous prime is 1629736897. The next prime is 1629736919. The reversal of 1629736900 is 96379261.

The square root of 1629736900 is 40370.

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., 586705284 + 1043031616 = 24222^2 + 32296^2 .

It is a super-2 number, since 2×1629736900² = 5312084726443220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4440517 + ... + 4440883.

Almost surely, 2^1629736900 is an apocalyptic number.

1629736900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1629736900 is the 40370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1629736900

1629736900 is an abundant number, since it is smaller than the sum of its proper divisors (2268143177).

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

1629736900 is a wasteful number, since it uses less digits than its factorization.

1629736900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The cubic root of 1629736900 is about 1176.8085984510.

The spelling of 1629736900 in words is "one billion, six hundred twenty-nine million, seven hundred thirty-six thousand, nine hundred".