3433429440 has 336 divisors, whose sum is σ = 13687397568. Its totient is φ = 773701632.

The previous prime is 3433429357. The next prime is 3433429457. The reversal of 3433429440 is 449243343.

It is a happy number.

3433429440 is a `hidden beast` number, since 34 + 334 + 294 + 4 + 0 = 666.

3433429440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 3433429395 and 3433429404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1470514 + ... + 1472846.

Almost surely, 2^3433429440 is an apocalyptic number.

3433429440 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 3433429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6843698784).

3433429440 is an abundant number, since it is smaller than the sum of its proper divisors (10253968128).

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

3433429440 is a wasteful number, since it uses less digits than its factorization.

3433429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 3433429440 is about 58595.4728626709. The cubic root of 3433429440 is about 1508.6067349568.

The spelling of 3433429440 in words is "three billion, four hundred thirty-three million, four hundred twenty-nine thousand, four hundred forty".