31484953600 has 99 divisors (see below), whose sum is σ = 78114995887. Its totient is φ = 12582625280.

The previous prime is 31484953541. The next prime is 31484953607. The reversal of 31484953600 is 635948413.

The square root of 31484953600 is 177440.

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 16196125696 + 15288827904 = 127264^2 + 123648^2 .

It is a super-3 number, since 3×31484953600³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31484953607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28389846 + ... + 28390954.

Almost surely, 2^31484953600 is an apocalyptic number.

31484953600 is the 177440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31484953600

31484953600 is an abundant number, since it is smaller than the sum of its proper divisors (46630042287).

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

31484953600 is an frugal number, since it uses more digits than its factorization.

31484953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

It can be divided in two parts, 314849 and 53600, that added together give a square (368449 = 607²).

The spelling of 31484953600 in words is "thirty-one billion, four hundred eighty-four million, nine hundred fifty-three thousand, six hundred".