3482403840 has 352 divisors, whose sum is σ = 12568907520. Its totient is φ = 925655040.

The previous prime is 3482403797. The next prime is 3482403857. The reversal of 3482403840 is 483042843.

3482403840 is a `hidden beast` number, since 34 + 8 + 240 + 384 + 0 = 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 = 3482403795 and 3482403804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11197285 + ... + 11197595.

Almost surely, 2^3482403840 is an apocalyptic number.

3482403840 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 3482403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284453760).

3482403840 is an abundant number, since it is smaller than the sum of its proper divisors (9086503680).

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

3482403840 is an frugal number, since it uses more digits than its factorization.

3482403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3482403840 is about 59011.8957499249. The cubic root of 3482403840 is about 1515.7458145320.

The spelling of 3482403840 in words is "three billion, four hundred eighty-two million, four hundred three thousand, eight hundred forty".