3364801056 has 72 divisors (see below), whose sum is σ = 9599675904. Its totient is φ = 1117964160.

The previous prime is 3364801049. The next prime is 3364801081. The reversal of 3364801056 is 6501084633.

3364801056 is a `hidden beast` number, since 3 + 3 + 648 + 0 + 1 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3364801056² = 22643772292917430272, which contains 22 as substring.

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 3364801056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70785 + ... + 108351.

It is an arithmetic number, because the mean of its divisors is an integer number (133328832).

Almost surely, 2^3364801056 is an apocalyptic number.

3364801056 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 3364801056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799837952).

3364801056 is an abundant number, since it is smaller than the sum of its proper divisors (6234874848).

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

3364801056 is a wasteful number, since it uses less digits than its factorization.

3364801056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37894 (or 37883 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3364801056 is about 58006.9052441173. The cubic root of 3364801056 is about 1498.4875207837.

Adding to 3364801056 its reverse (6501084633), we get a palindrome (9865885689).

The spelling of 3364801056 in words is "three billion, three hundred sixty-four million, eight hundred one thousand, fifty-six".