3439266480 has 480 divisors, whose sum is σ = 13345812480. Its totient is φ = 817413120.

The previous prime is 3439266473. The next prime is 3439266487. The reversal of 3439266480 is 846629343.

3439266480 is a `hidden beast` number, since 343 + 9 + 266 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3439266473) and next prime (3439266487).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3439266487) 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 95 ways as a sum of consecutive naturals, for example, 7834101 + ... + 7834539.

It is an arithmetic number, because the mean of its divisors is an integer number (27803776).

Almost surely, 2^3439266480 is an apocalyptic number.

3439266480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3439266480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672906240).

3439266480 is an abundant number, since it is smaller than the sum of its proper divisors (9906546000).

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

3439266480 is a wasteful number, since it uses less digits than its factorization.

3439266480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3439266480 is about 58645.2596549798. The cubic root of 3439266480 is about 1509.4611588486.

The spelling of 3439266480 in words is "three billion, four hundred thirty-nine million, two hundred sixty-six thousand, four hundred eighty".