3414900321 has 48 divisors (see below), whose sum is σ = 5891768064. Its totient is φ = 1863556992.

The previous prime is 3414900319. The next prime is 3414900323. The reversal of 3414900321 is 1230094143.

It is an interprime number because it is at equal distance from previous prime (3414900319) and next prime (3414900323).

It is not a de Polignac number, because 3414900321 - 2¹ = 3414900319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3414900323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153375 + ... + 1156331.

It is an arithmetic number, because the mean of its divisors is an integer number (122745168).

Almost surely, 2^3414900321 is an apocalyptic number.

It is an amenable number.

3414900321 is a deficient number, since it is larger than the sum of its proper divisors (2476867743).

3414900321 is a wasteful number, since it uses less digits than its factorization.

3414900321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3414900321 is about 58437.1484673919. The cubic root of 3414900321 is about 1505.8880159374. Note that the first 3 decimals are identical.

Adding to 3414900321 its reverse (1230094143), we get a palindrome (4644994464).

The spelling of 3414900321 in words is "three billion, four hundred fourteen million, nine hundred thousand, three hundred twenty-one".