3411201024 has 792 divisors, whose sum is σ = 13590769920. Its totient is φ = 802897920.

The previous prime is 3411201023. The next prime is 3411201121. The reversal of 3411201024 is 4201021143.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×3411201024² = 23272584852277297152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3411200988 and 3411201006.

It is not an unprimeable number, because it can be changed into a prime (3411201023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148313077 + ... + 148313099.

Almost surely, 2^3411201024 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 3411201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795384960).

3411201024 is an abundant number, since it is smaller than the sum of its proper divisors (10179568896).

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

3411201024 is a wasteful number, since it uses less digits than its factorization.

3411201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3411201024 is about 58405.4879613209. The cubic root of 3411201024 is about 1505.3440527894.

Adding to 3411201024 its reverse (4201021143), we get a palindrome (7612222167).

The spelling of 3411201024 in words is "three billion, four hundred eleven million, two hundred one thousand, twenty-four".