3332435040 has 384 divisors, whose sum is σ = 13281408000. Its totient is φ = 772485120.

The previous prime is 3332435033. The next prime is 3332435059. The reversal of 3332435040 is 405342333.

It is a happy number.

3332435040 is a `hidden beast` number, since 333 + 243 + 50 + 40 = 666.

It is a super-2 number, since 2×3332435040² = 22210246591639603200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3332434995 and 3332435013.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1091436 + ... + 1094484.

It is an arithmetic number, because the mean of its divisors is an integer number (34587000).

Almost surely, 2^3332435040 is an apocalyptic number.

3332435040 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 3332435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640704000).

3332435040 is an abundant number, since it is smaller than the sum of its proper divisors (9948972960).

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

3332435040 is a wasteful number, since it uses less digits than its factorization.

3332435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 3332435040 is about 57727.2469463078. The cubic root of 3332435040 is about 1493.6673829297.

Adding to 3332435040 its reverse (405342333), we get a palindrome (3737777373).

The spelling of 3332435040 in words is "three billion, three hundred thirty-two million, four hundred thirty-five thousand, forty".