3364431840 has 576 divisors, whose sum is σ = 15076938240. Its totient is φ = 661893120.

The previous prime is 3364431797. The next prime is 3364431841. The reversal of 3364431840 is 481344633.

It is a happy number.

3364431840 is a `hidden beast` number, since 3 + 3 + 644 + 3 + 1 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×3364431840² = 22638803212011571200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3364431795 and 3364431804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364431841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2105922 + ... + 2107518.

It is an arithmetic number, because the mean of its divisors is an integer number (26175240).

Almost surely, 2^3364431840 is an apocalyptic number.

3364431840 is a gapful number since it is divisible by the number (30) 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 3364431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7538469120).

3364431840 is an abundant number, since it is smaller than the sum of its proper divisors (11712506400).

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

3364431840 is a wasteful number, since it uses less digits than its factorization.

3364431840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3364431840 is about 58003.7226391548. The cubic root of 3364431840 is about 1498.4327096376.

The spelling of 3364431840 in words is "three billion, three hundred sixty-four million, four hundred thirty-one thousand, eight hundred forty".