3430937493841 has 27 divisors (see below), whose sum is σ = 4083917794257. Its totient is φ = 2878886112960.

The previous prime is 3430937493829. The next prime is 3430937493853. The reversal of 3430937493841 is 1483947390343.

The square root of 3430937493841 is 1852279.

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

It is an interprime number because it is at equal distance from previous prime (3430937493829) and next prime (3430937493853).

It can be written as a sum of positive squares in 4 ways, for example, as 1984353986241 + 1446583507600 = 1408671^2 + 1202740^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3430937493841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3430937493881) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 264869421 + ... + 264882373.

Almost surely, 2^{3430937493841} is an apocalyptic number.

3430937493841 is the 1852279-th square number.

3430937493841 is the 926140-th centered octagonal number.

It is an amenable number.

3430937493841 is a deficient number, since it is larger than the sum of its proper divisors (652980300416).

3430937493841 is an frugal number, since it uses more digits than its factorization.

3430937493841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25954 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 58.

The spelling of 3430937493841 in words is "three trillion, four hundred thirty billion, nine hundred thirty-seven million, four hundred ninety-three thousand, eight hundred forty-one".