3411950256 has 240 divisors, whose sum is σ = 11595195360. Its totient is φ = 954201600.

The previous prime is 3411950239. The next prime is 3411950261. The reversal of 3411950256 is 6520591143.

3411950256 is a `hidden beast` number, since 34 + 119 + 502 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3411950256.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 677026 + ... + 682046.

It is an arithmetic number, because the mean of its divisors is an integer number (48313314).

Almost surely, 2^3411950256 is an apocalyptic number.

3411950256 is a gapful number since it is divisible by the number (36) 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 3411950256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797597680).

3411950256 is an abundant number, since it is smaller than the sum of its proper divisors (8183245104).

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

3411950256 is a wasteful number, since it uses less digits than its factorization.

3411950256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3411950256 is about 58411.9016639589. The cubic root of 3411950256 is about 1505.4542553607.

The spelling of 3411950256 in words is "three billion, four hundred eleven million, nine hundred fifty thousand, two hundred fifty-six".