3433674240 has 400 divisors, whose sum is σ = 12744697680. Its totient is φ = 882524160.

The previous prime is 3433674221. The next prime is 3433674241. The reversal of 3433674240 is 424763343.

3433674240 is a `hidden beast` number, since 343 + 3 + 6 + 74 + 240 = 666.

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 = 3433674195 and 3433674204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3433674241) 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 39 ways as a sum of consecutive naturals, for example, 6013155 + ... + 6013725.

Almost surely, 2^3433674240 is an apocalyptic number.

3433674240 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 3433674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372348840).

3433674240 is an abundant number, since it is smaller than the sum of its proper divisors (9311023440).

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

3433674240 is an equidigital number, since it uses as much as digits as its factorization.

3433674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The square root of 3433674240 is about 58597.5617240172. The cubic root of 3433674240 is about 1508.6425881427.

The spelling of 3433674240 in words is "three billion, four hundred thirty-three million, six hundred seventy-four thousand, two hundred forty".