1934432256 has 192 divisors, whose sum is σ = 5527267200. Its totient is φ = 599851008.

The previous prime is 1934432243. The next prime is 1934432287. The reversal of 1934432256 is 6522344391.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (155520) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8521615 + ... + 8521841.

It is an arithmetic number, because the mean of its divisors is an integer number (28787850).

Almost surely, 2^1934432256 is an apocalyptic number.

1934432256 is a gapful number since it is divisible by the number (16) 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 1934432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763633600).

1934432256 is an abundant number, since it is smaller than the sum of its proper divisors (3592834944).

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

1934432256 is a wasteful number, since it uses less digits than its factorization.

1934432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 1934432256 is about 43982.1811191760. The cubic root of 1934432256 is about 1245.9994245897. Note that the first 3 decimals are identical.

The spelling of 1934432256 in words is "one billion, nine hundred thirty-four million, four hundred thirty-two thousand, two hundred fifty-six".