356640144 has 160 divisors (see below), whose sum is σ = 1153854720. Its totient is φ = 92553216.

The previous prime is 356640133. The next prime is 356640149. The reversal of 356640144 is 441046653.

It is not an unprimeable number, because it can be changed into a prime (356640149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164572 + ... + 166724.

It is an arithmetic number, because the mean of its divisors is an integer number (7211592).

Almost surely, 2^356640144 is an apocalyptic number.

356640144 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 356640144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576927360).

356640144 is an abundant number, since it is smaller than the sum of its proper divisors (797214576).

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

356640144 is a wasteful number, since it uses less digits than its factorization.

356640144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 356640144 is about 18884.9184271471. The cubic root of 356640144 is about 709.1586569184.

Adding to 356640144 its reverse (441046653), we get a palindrome (797686797).

The spelling of 356640144 in words is "three hundred fifty-six million, six hundred forty thousand, one hundred forty-four".