738213840 has 480 divisors, whose sum is σ = 3217294080. Its totient is φ = 147308544.

The previous prime is 738213799. The next prime is 738213851. The reversal of 738213840 is 48312837.

It is a super-3 number, since 3×738213840³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 738213795 and 738213804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244584 + ... + 1245176.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^738213840 is an apocalyptic number.

738213840 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 738213840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608647040).

738213840 is an abundant number, since it is smaller than the sum of its proper divisors (2479080240).

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

738213840 is a wasteful number, since it uses less digits than its factorization.

738213840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 738213840 is about 27170.0909089388. The cubic root of 738213840 is about 903.7758404714.

The spelling of 738213840 in words is "seven hundred thirty-eight million, two hundred thirteen thousand, eight hundred forty".