738671400 has 144 divisors (see below), whose sum is σ = 2572752000. Its totient is φ = 196966080.

The previous prime is 738671371. The next prime is 738671407. The reversal of 738671400 is 4176837.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (738671407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41001 + ... + 56199.

Almost surely, 2^738671400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738671400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286376000).

738671400 is an abundant number, since it is smaller than the sum of its proper divisors (1834080600).

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

738671400 is a wasteful number, since it uses less digits than its factorization.

738671400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15230 (or 15209 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 738671400 is about 27178.5098929283. The cubic root of 738671400 is about 903.9625281411.

The spelling of 738671400 in words is "seven hundred thirty-eight million, six hundred seventy-one thousand, four hundred".