3290235840 has 336 divisors, whose sum is σ = 11811121920. Its totient is φ = 839761920.

The previous prime is 3290235821. The next prime is 3290235847. The reversal of 3290235840 is 485320923.

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 = 3290235795 and 3290235804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3290235847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12231226 + ... + 12231494.

Almost surely, 2^3290235840 is an apocalyptic number.

3290235840 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 3290235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905560960).

3290235840 is an abundant number, since it is smaller than the sum of its proper divisors (8520886080).

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

3290235840 is a wasteful number, since it uses less digits than its factorization.

3290235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3290235840 is about 57360.5774029516. The cubic root of 3290235840 is about 1487.3357250030.

The spelling of 3290235840 in words is "three billion, two hundred ninety million, two hundred thirty-five thousand, eight hundred forty".