3426279120 has 240 divisors, whose sum is σ = 13213886400. Its totient is φ = 786862080.

The previous prime is 3426279119. The next prime is 3426279121. The reversal of 3426279120 is 219726243.

3426279120 is a `hidden beast` number, since 3 + 4 + 2 + 627 + 9 + 1 + 20 = 666.

3426279120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3426279119) and next prime (3426279121).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426279121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139096 + ... + 161864.

It is an arithmetic number, because the mean of its divisors is an integer number (55057860).

Almost surely, 2^3426279120 is an apocalyptic number.

3426279120 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 3426279120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606943200).

3426279120 is an abundant number, since it is smaller than the sum of its proper divisors (9787607280).

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

3426279120 is a wasteful number, since it uses less digits than its factorization.

3426279120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22818 (or 22809 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3426279120 is about 58534.4267931275. The cubic root of 3426279120 is about 1507.5587528565.

The spelling of 3426279120 in words is "three billion, four hundred twenty-six million, two hundred seventy-nine thousand, one hundred twenty".