3401815248 has 120 divisors (see below), whose sum is σ = 10268552840. Its totient is φ = 1045094400.

The previous prime is 3401815247. The next prime is 3401815297. The reversal of 3401815248 is 8425181043.

3401815248 is a `hidden beast` number, since 3 + 401 + 8 + 1 + 5 + 248 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41062464 + 3360752784 = 6408^2 + 57972^2 .

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 (3401815247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1887948 + ... + 1889748.

Almost surely, 2^3401815248 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 3401815248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134276420).

3401815248 is an abundant number, since it is smaller than the sum of its proper divisors (6866737592).

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

3401815248 is a wasteful number, since it uses less digits than its factorization.

3401815248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3401815248 is about 58325.0824945838. The cubic root of 3401815248 is about 1503.9621543404.

The spelling of 3401815248 in words is "three billion, four hundred one million, eight hundred fifteen thousand, two hundred forty-eight".