3906433440 has 768 divisors, whose sum is σ = 17747251200. Its totient is φ = 779341824.

The previous prime is 3906433409. The next prime is 3906433441. The reversal of 3906433440 is 443346093.

It is a happy number.

3906433440 is a `hidden beast` number, since 3 + 9 + 0 + 643 + 3 + 4 + 4 + 0 = 666.

3906433440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 3906433395 and 3906433404.

It is not an unprimeable number, because it can be changed into a prime (3906433441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7469019 + ... + 7469541.

It is an arithmetic number, because the mean of its divisors is an integer number (23108400).

Almost surely, 2^3906433440 is an apocalyptic number.

3906433440 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 3906433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873625600).

3906433440 is an abundant number, since it is smaller than the sum of its proper divisors (13840817760).

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

3906433440 is a wasteful number, since it uses less digits than its factorization.

3906433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3906433440 is about 62501.4675027715. The cubic root of 3906433440 is about 1574.9259647739.

The spelling of 3906433440 in words is "three billion, nine hundred six million, four hundred thirty-three thousand, four hundred forty".