3294378240 has 144 divisors (see below), whose sum is σ = 10720600128. Its totient is φ = 861872128.

The previous prime is 3294378233. The next prime is 3294378247. The reversal of 3294378240 is 428734923.

It is an interprime number because it is at equal distance from previous prime (3294378233) and next prime (3294378247).

It is a junction number, because it is equal to n+sod(n) for n = 3294378192 and 3294378201.

It is not an unprimeable number, because it can be changed into a prime (3294378247) 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 15 ways as a sum of consecutive naturals, for example, 195427 + ... + 211613.

It is an arithmetic number, because the mean of its divisors is an integer number (74448612).

Almost surely, 2^3294378240 is an apocalyptic number.

3294378240 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 3294378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360300064).

3294378240 is an abundant number, since it is smaller than the sum of its proper divisors (7426221888).

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

3294378240 is a wasteful number, since it uses less digits than its factorization.

3294378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16264 (or 16250 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3294378240 is about 57396.6744681258. The cubic root of 3294378240 is about 1487.9596474200.

The spelling of 3294378240 in words is "three billion, two hundred ninety-four million, three hundred seventy-eight thousand, two hundred forty".