3468639240 has 512 divisors, whose sum is σ = 13492224000. Its totient is φ = 790352640.

The previous prime is 3468639233. The next prime is 3468639241. The reversal of 3468639240 is 429368643.

3468639240 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 639 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3468639241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27312057 + ... + 27312183.

It is an arithmetic number, because the mean of its divisors is an integer number (26352000).

Almost surely, 2^3468639240 is an apocalyptic number.

3468639240 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 3468639240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746112000).

3468639240 is an abundant number, since it is smaller than the sum of its proper divisors (10023584760).

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

3468639240 is a wasteful number, since it uses less digits than its factorization.

3468639240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3468639240 is about 58895.1546394099. The cubic root of 3468639240 is about 1513.7461245711.

The spelling of 3468639240 in words is "three billion, four hundred sixty-eight million, six hundred thirty-nine thousand, two hundred forty".