3321101641 has 45 divisors (see below), whose sum is σ = 4086346929. Its totient is φ = 2697037200.

The previous prime is 3321101621. The next prime is 3321101671. The reversal of 3321101641 is 1461011233.

The square root of 3321101641 is 57629.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1646655241 + 1674446400 = 40579^2 + 40920^2 .

It is not a de Polignac number, because 3321101641 - 2²⁵ = 3287547209 is a prime.

It is a super-2 number, since 2×3321101641² = 22059432219705785762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3321101621) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 107132296 + ... + 107132326.

Almost surely, 2^3321101641 is an apocalyptic number.

3321101641 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3321101641 is the 57629-th square number.

3321101641 is the 28815-th centered octagonal number.

It is an amenable number.

3321101641 is a deficient number, since it is larger than the sum of its proper divisors (765245288).

3321101641 is an frugal number, since it uses more digits than its factorization.

3321101641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The cubic root of 3321101641 is about 1491.9721705416.

Adding to 3321101641 its reverse (1461011233), we get a palindrome (4782112874).

The spelling of 3321101641 in words is "three billion, three hundred twenty-one million, one hundred one thousand, six hundred forty-one".