3401041824 has 192 divisors, whose sum is σ = 10304340480. Its totient is φ = 1090575360.

The previous prime is 3401041807. The next prime is 3401041849. The reversal of 3401041824 is 4281401043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2476402 + ... + 2477774.

It is an arithmetic number, because the mean of its divisors is an integer number (53668440).

Almost surely, 2^3401041824 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 3401041824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152170240).

3401041824 is an abundant number, since it is smaller than the sum of its proper divisors (6903298656).

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

3401041824 is a wasteful number, since it uses less digits than its factorization.

3401041824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3401041824 is about 58318.4518313029. The cubic root of 3401041824 is about 1503.8481672967.

Adding to 3401041824 its reverse (4281401043), we get a palindrome (7682442867).

The spelling of 3401041824 in words is "three billion, four hundred one million, forty-one thousand, eight hundred twenty-four".