32105472400 has 225 divisors, whose sum is σ = 84683140293. Its totient is φ = 11696870400.

The previous prime is 32105472397. The next prime is 32105472401. The reversal of 32105472400 is 427450123.

The square root of 32105472400 is 179180.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3498485904 + 28606986496 = 59148^2 + 169136^2 .

It is a super-2 number, since 2×32105472400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32105472401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1035660385 + ... + 1035660415.

Almost surely, 2^32105472400 is an apocalyptic number.

32105472400 is the 179180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32105472400

32105472400 is an abundant number, since it is smaller than the sum of its proper divisors (52577667893).

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

32105472400 is an frugal number, since it uses more digits than its factorization.

32105472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 32105472400 in words is "thirty-two billion, one hundred five million, four hundred seventy-two thousand, four hundred".