3411142400 has 108 divisors (see below), whose sum is σ = 8734727400. Its totient is φ = 1317335040.

The previous prime is 3411142379. The next prime is 3411142433. The reversal of 3411142400 is 42411143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176411 + ... + 194789.

Almost surely, 2^3411142400 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 3411142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367363700).

3411142400 is an abundant number, since it is smaller than the sum of its proper divisors (5323585000).

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

3411142400 is a wasteful number, since it uses less digits than its factorization.

3411142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18434 (or 18415 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3411142400 is about 58404.9860885182. The cubic root of 3411142400 is about 1505.3354292583.

Adding to 3411142400 its reverse (42411143), we get a palindrome (3453553543).

The spelling of 3411142400 in words is "three billion, four hundred eleven million, one hundred forty-two thousand, four hundred".