3484434240 has 448 divisors, whose sum is σ = 14879116800. Its totient is φ = 749371392.

The previous prime is 3484434221. The next prime is 3484434251. The reversal of 3484434240 is 424344843.

3484434240 is a `hidden beast` number, since 348 + 44 + 34 + 240 = 666.

3484434240 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 (448).

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 = 3484434195 and 3484434204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1026466 + ... + 1029854.

Almost surely, 2^3484434240 is an apocalyptic number.

3484434240 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 3484434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439558400).

3484434240 is an abundant number, since it is smaller than the sum of its proper divisors (11394682560).

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

3484434240 is a wasteful number, since it uses less digits than its factorization.

3484434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 3484434240 is about 59029.0965541571. The cubic root of 3484434240 is about 1516.0403402404.

The spelling of 3484434240 in words is "three billion, four hundred eighty-four million, four hundred thirty-four thousand, two hundred forty".