3332413440 has 384 divisors, whose sum is σ = 12560184000. Its totient is φ = 835190784.

The previous prime is 3332413421. The next prime is 3332413451. The reversal of 3332413440 is 443142333.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3332413440² = 22209958670185267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4699806 + ... + 4700514.

Almost surely, 2^3332413440 is an apocalyptic number.

3332413440 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 3332413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280092000).

3332413440 is an abundant number, since it is smaller than the sum of its proper divisors (9227770560).

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

3332413440 is a wasteful number, since it uses less digits than its factorization.

3332413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3332413440 is about 57727.0598593069. The cubic root of 3332413440 is about 1493.6641557315.

Adding to 3332413440 its reverse (443142333), we get a palindrome (3775555773).

It can be divided in two parts, 33324 and 13440, that added together give a palindrome (46764).

The spelling of 3332413440 in words is "three billion, three hundred thirty-two million, four hundred thirteen thousand, four hundred forty".