3431264928 has 192 divisors, whose sum is σ = 11121610752. Its totient is φ = 902016000.

The previous prime is 3431264911. The next prime is 3431264957. The reversal of 3431264928 is 8294621343.

It is a Cunningham number, because it is equal to 58577²-1.

It is a super-2 number, since 2×3431264928² = 23547158012245690368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3431264928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4568553 + ... + 4569303.

It is an arithmetic number, because the mean of its divisors is an integer number (57925056).

Almost surely, 2^3431264928 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 3431264928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560805376).

3431264928 is an abundant number, since it is smaller than the sum of its proper divisors (7690345824).

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

3431264928 is a wasteful number, since it uses less digits than its factorization.

3431264928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1299 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 3431264928 is about 58576.9999914642. Note that the first 5 decimals coincide. The cubic root of 3431264928 is about 1508.2896483168.

The spelling of 3431264928 in words is "three billion, four hundred thirty-one million, two hundred sixty-four thousand, nine hundred twenty-eight".