3414298624 has 117 divisors (see below), whose sum is σ = 7596407119. Its totient is φ = 1533255680.

The previous prime is 3414298621. The next prime is 3414298639. The reversal of 3414298624 is 4268924143.

The square root of 3414298624 is 58432.

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

It is a Duffinian number.

Its product of digits (331776) is a multiple of the sum of its prime divisors (96).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3414298621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41136087 + ... + 41136169.

Almost surely, 2^3414298624 is an apocalyptic number.

3414298624 is the 58432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414298624

3414298624 is an abundant number, since it is smaller than the sum of its proper divisors (4182108495).

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

3414298624 is an frugal number, since it uses more digits than its factorization.

3414298624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 96 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The cubic root of 3414298624 is about 1505.7995661596.

It can be divided in two parts, 341429 and 8624, that added together give a palindrome (350053).

The spelling of 3414298624 in words is "three billion, four hundred fourteen million, two hundred ninety-eight thousand, six hundred twenty-four".