3411354400 has 36 divisors (see below), whose sum is σ = 8327970882. Its totient is φ = 1364541440.

The previous prime is 3411354391. The next prime is 3411354403. The reversal of 3411354400 is 44531143.

It can be written as a sum of positive squares in 3 ways, for example, as 3161587984 + 249766416 = 56228^2 + 15804^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3411354403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2131297 + ... + 2132896.

Almost surely, 2^3411354400 is an apocalyptic number.

It is an amenable number.

3411354400 is an abundant number, since it is smaller than the sum of its proper divisors (4916616482).

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

3411354400 is a wasteful number, since it uses less digits than its factorization.

3411354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264213 (or 4264200 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3411354400 is about 58406.8009738592. The cubic root of 3411354400 is about 1505.3666137768.

Adding to 3411354400 its reverse (44531143), we get a palindrome (3455885543).

The spelling of 3411354400 in words is "three billion, four hundred eleven million, three hundred fifty-four thousand, four hundred".