3401274240 has 960 divisors, whose sum is σ = 15364308960. Its totient is φ = 710664192.

The previous prime is 3401274223. The next prime is 3401274277. The reversal of 3401274240 is 424721043.

3401274240 is a `hidden beast` number, since 340 + 12 + 74 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33022029 + ... + 33022131.

Almost surely, 2^3401274240 is an apocalyptic number.

3401274240 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 3401274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682154480).

3401274240 is an abundant number, since it is smaller than the sum of its proper divisors (11963034720).

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

3401274240 is a wasteful number, since it uses less digits than its factorization.

3401274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3401274240 is about 58320.4444427509. Note that the first 5 decimals coincide. The cubic root of 3401274240 is about 1503.8824225272.

Adding to 3401274240 its reverse (424721043), we get a palindrome (3825995283).

The spelling of 3401274240 in words is "three billion, four hundred one million, two hundred seventy-four thousand, two hundred forty".