1034256384 has 256 divisors, whose sum is σ = 3523161600. Its totient is φ = 293732352.

The previous prime is 1034256359. The next prime is 1034256407. The reversal of 1034256384 is 4836524301.

1034256384 is a `hidden beast` number, since 10 + 3 + 4 + 2 + 5 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6193069 + ... + 6193235.

It is an arithmetic number, because the mean of its divisors is an integer number (13762350).

Almost surely, 2^1034256384 is an apocalyptic number.

1034256384 is a gapful number since it is divisible by the number (14) 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 1034256384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761580800).

1034256384 is an abundant number, since it is smaller than the sum of its proper divisors (2488905216).

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

1034256384 is an frugal number, since it uses more digits than its factorization.

1034256384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1034256384 is about 32159.8567160987. The cubic root of 1034256384 is about 1011.2908319838.

The spelling of 1034256384 in words is "one billion, thirty-four million, two hundred fifty-six thousand, three hundred eighty-four".