3483829440 has 840 divisors, whose sum is σ = 15598365552. Its totient is φ = 731566080.

The previous prime is 3483829429. The next prime is 3483829469. The reversal of 3483829440 is 449283843.

3483829440 is a `hidden beast` number, since 3 + 483 + 82 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16510935 + ... + 16511145.

Almost surely, 2^3483829440 is an apocalyptic number.

3483829440 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 3483829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799182776).

3483829440 is an abundant number, since it is smaller than the sum of its proper divisors (12114536112).

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

3483829440 is a wasteful number, since it uses less digits than its factorization.

3483829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3483829440 is about 59023.9734345291. The cubic root of 3483829440 is about 1515.9526211456.

The spelling of 3483829440 in words is "three billion, four hundred eighty-three million, eight hundred twenty-nine thousand, four hundred forty".