3411642240 has 192 divisors, whose sum is σ = 12217710960. Its totient is φ = 909729792.

The previous prime is 3411642203. The next prime is 3411642253. The reversal of 3411642240 is 422461143.

It is a happy number.

3411642240 is a `hidden beast` number, since 3 + 4 + 11 + 642 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 144552 + ... + 166488.

Almost surely, 2^3411642240 is an apocalyptic number.

3411642240 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 3411642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108855480).

3411642240 is an abundant number, since it is smaller than the sum of its proper divisors (8806068720).

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

3411642240 is an equidigital number, since it uses as much as digits as its factorization.

3411642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21971 (or 21947 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3411642240 is about 58409.2650184883. The cubic root of 3411642240 is about 1505.4089520476.

The spelling of 3411642240 in words is "three billion, four hundred eleven million, six hundred forty-two thousand, two hundred forty".