738612000 has 384 divisors, whose sum is σ = 3075770880. Its totient is φ = 168652800.

The previous prime is 738611977. The next prime is 738612059. The reversal of 738612000 is 216837.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755512 + ... + 756488.

It is an arithmetic number, because the mean of its divisors is an integer number (8009820).

Almost surely, 2^738612000 is an apocalyptic number.

738612000 is a gapful number since it is divisible by the number (70) 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 738612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537885440).

738612000 is an abundant number, since it is smaller than the sum of its proper divisors (2337158880).

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

738612000 is a wasteful number, since it uses less digits than its factorization.

738612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 738612000 is about 27177.4170958169. The cubic root of 738612000 is about 903.9382968823.

Adding to 738612000 its reverse (216837), we get a palindrome (738828837).

The spelling of 738612000 in words is "seven hundred thirty-eight million, six hundred twelve thousand".