3401807360 has 240 divisors, whose sum is σ = 9706682304. Its totient is φ = 1139539968.

The previous prime is 3401807359. The next prime is 3401807369. The reversal of 3401807360 is 637081043.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401807369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5895392 + ... + 5895968.

Almost surely, 2^3401807360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853341152).

3401807360 is an abundant number, since it is smaller than the sum of its proper divisors (6304874944).

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

3401807360 is an equidigital number, since it uses as much as digits as its factorization.

3401807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 3401807360 is about 58325.0148735515. The cubic root of 3401807360 is about 1503.9609918961.

The spelling of 3401807360 in words is "three billion, four hundred one million, eight hundred seven thousand, three hundred sixty".