3414982033089 has 81 divisors (see below), whose sum is σ = 5618270699587. Its totient is φ = 1997282733600.

The previous prime is 3414982033051. The next prime is 3414982033103. The reversal of 3414982033089 is 9803302894143.

The square root of 3414982033089 is 1847967.

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

3414982033089 is a `hidden beast` number, since 3 + 41 + 4 + 98 + 203 + 308 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1790733741489 + 1624248291600 = 1338183^2 + 1274460^2 .

It is not a de Polignac number, because 3414982033089 - 2²⁷ = 3414847815361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3414982033039) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1768503454 + ... + 1768505384.

Almost surely, 2^{3414982033089} is an apocalyptic number.

3414982033089 is the 1847967-th square number.

3414982033089 is the 923984-th centered octagonal number.

It is an amenable number.

3414982033089 is a deficient number, since it is larger than the sum of its proper divisors (2203288666498).

3414982033089 is an equidigital number, since it uses as much as digits as its factorization.

3414982033089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3414982033089 in words is "three trillion, four hundred fourteen billion, nine hundred eighty-two million, thirty-three thousand, eighty-nine".