3274380426240 has 1408 divisors, whose sum is σ = 14977421475840. Its totient is φ = 658376294400.

The previous prime is 3274380426197. The next prime is 3274380426277. The reversal of 3274380426240 is 426240834723.

3274380426240 is a `hidden beast` number, since 3 + 2 + 7 + 4 + 380 + 4 + 26 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 127 ways as a sum of consecutive naturals, for example, 329973919 + ... + 329983841.

Almost surely, 2^{3274380426240} is an apocalyptic number.

3274380426240 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 3274380426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488710737920).

3274380426240 is an abundant number, since it is smaller than the sum of its proper divisors (11703041049600).

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

3274380426240 is a wasteful number, since it uses less digits than its factorization.

3274380426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 3274380426240 in words is "three trillion, two hundred seventy-four billion, three hundred eighty million, four hundred twenty-six thousand, two hundred forty".