3344141400 has 192 divisors, whose sum is σ = 11274590880. Its totient is φ = 816537600.

The previous prime is 3344141387. The next prime is 3344141401. The reversal of 3344141400 is 41414433.

It is a super-2 number, since 2×3344141400² = 22366563406387920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344141401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372970 + ... + 381830.

Almost surely, 2^3344141400 is an apocalyptic number.

3344141400 is a gapful number since it is divisible by the number (30) 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 3344141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637295440).

3344141400 is an abundant number, since it is smaller than the sum of its proper divisors (7930449480).

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

3344141400 is a wasteful number, since it uses less digits than its factorization.

3344141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3344141400 is about 57828.5517715946. The cubic root of 3344141400 is about 1495.4143510570.

Adding to 3344141400 its reverse (41414433), we get a palindrome (3385555833).

The spelling of 3344141400 in words is "three billion, three hundred forty-four million, one hundred forty-one thousand, four hundred".