3468613720 has 128 divisors (see below), whose sum is σ = 9320028480. Its totient is φ = 1145088000.

The previous prime is 3468613699. The next prime is 3468613721. The reversal of 3468613720 is 273168643.

It is a super-2 number, since 2×3468613720² = 24062562277144476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3468613721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343950 + ... + 353890.

Almost surely, 2^3468613720 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 3468613720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660014240).

3468613720 is an abundant number, since it is smaller than the sum of its proper divisors (5851414760).

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

3468613720 is a wasteful number, since it uses less digits than its factorization.

3468613720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10037 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 3468613720 is about 58894.9379828182. The cubic root of 3468613720 is about 1513.7424121743.

The spelling of 3468613720 in words is "three billion, four hundred sixty-eight million, six hundred thirteen thousand, seven hundred twenty".