63738000 has 120 divisors (see below), whose sum is σ = 222678456. Its totient is φ = 16992000.

The previous prime is 63737963. The next prime is 63738019. The reversal of 63738000 is 83736.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 59721984 = 2004^2 + 7728^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16230 + ... + 19770.

Almost surely, 2^63738000 is an apocalyptic number.

63738000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111339228).

63738000 is an abundant number, since it is smaller than the sum of its proper divisors (158940456).

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

63738000 is a wasteful number, since it uses less digits than its factorization.

63738000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 63738000 is about 7983.6082068198. The cubic root of 63738000 is about 399.4534201330.

The spelling of 63738000 in words is "sixty-three million, seven hundred thirty-eight thousand".