3466727424 has 260 divisors, whose sum is σ = 10640567696. Its totient is φ = 1128701952.

The previous prime is 3466727393. The next prime is 3466727461. The reversal of 3466727424 is 4247276643.

Its product of digits (1354752) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3466727424.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80621547 + ... + 80621589.

Almost surely, 2^3466727424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466727424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320283848).

3466727424 is an abundant number, since it is smaller than the sum of its proper divisors (7173840272).

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

3466727424 is an frugal number, since it uses more digits than its factorization.

3466727424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The square root of 3466727424 is about 58878.9217292572. The cubic root of 3466727424 is about 1513.4679620871.

The spelling of 3466727424 in words is "three billion, four hundred sixty-six million, seven hundred twenty-seven thousand, four hundred twenty-four".