3302778240 has 224 divisors, whose sum is σ = 11839813200. Its totient is φ = 880616448.

The previous prime is 3302778233. The next prime is 3302778251. The reversal of 3302778240 is 428772033.

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 = 3302778195 and 3302778204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 463021 + ... + 470099.

Almost surely, 2^3302778240 is an apocalyptic number.

3302778240 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 3302778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919906600).

3302778240 is an abundant number, since it is smaller than the sum of its proper divisors (8537034960).

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

3302778240 is an frugal number, since it uses more digits than its factorization.

3302778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3302778240 is about 57469.8028533246. The cubic root of 3302778240 is about 1489.2232397137.

The spelling of 3302778240 in words is "three billion, three hundred two million, seven hundred seventy-eight thousand, two hundred forty".