3411728100 has 405 divisors, whose sum is σ = 12365812921. Its totient is φ = 813067200.

The previous prime is 3411728081. The next prime is 3411728101. The reversal of 3411728100 is 18271143.

The square root of 3411728100 is 58410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1228222116 + 2183505984 = 35046^2 + 46728^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×3411728100² = 23279777256659220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3411728101) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 57825871 + ... + 57825929.

Almost surely, 2^3411728100 is an apocalyptic number.

3411728100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3411728100 is the 58410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411728100

3411728100 is an abundant number, since it is smaller than the sum of its proper divisors (8954084821).

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

3411728100 is a wasteful number, since it uses less digits than its factorization.

3411728100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The cubic root of 3411728100 is about 1505.4215806997.

Adding to 3411728100 its reverse (18271143), we get a palindrome (3429999243).

The spelling of 3411728100 in words is "three billion, four hundred eleven million, seven hundred twenty-eight thousand, one hundred".