398742344 has 256 divisors, whose sum is σ = 1110412800. Its totient is φ = 129024000.

The previous prime is 398742271. The next prime is 398742349. The reversal of 398742344 is 443247893.

It is a super-2 number, since 2×398742344² = 317990913797228672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 398742295 and 398742304.

It is not an unprimeable number, because it can be changed into a prime (398742349) 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 63 ways as a sum of consecutive naturals, for example, 3947894 + ... + 3947994.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2^398742344 is an apocalyptic number.

398742344 is a gapful number since it is divisible by the number (34) 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 398742344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555206400).

398742344 is an abundant number, since it is smaller than the sum of its proper divisors (711670456).

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

398742344 is a wasteful number, since it uses less digits than its factorization.

398742344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its digits is 580608, while the sum is 44.

The square root of 398742344 is about 19968.5338470304. The cubic root of 398742344 is about 736.0332816157.

The spelling of 398742344 in words is "three hundred ninety-eight million, seven hundred forty-two thousand, three hundred forty-four".