3400605600 has 288 divisors, whose sum is σ = 12961420416. Its totient is φ = 758169600.

The previous prime is 3400605547. The next prime is 3400605619. The reversal of 3400605600 is 65060043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686332 + ... + 691268.

It is an arithmetic number, because the mean of its divisors is an integer number (45004932).

Almost surely, 2^3400605600 is an apocalyptic number.

3400605600 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 3400605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480710208).

3400605600 is an abundant number, since it is smaller than the sum of its proper divisors (9560814816).

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

3400605600 is a wasteful number, since it uses less digits than its factorization.

3400605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3400605600 is about 58314.7116943915. The cubic root of 3400605600 is about 1503.7838690859.

Adding to 3400605600 its reverse (65060043), we get a palindrome (3465665643).

The spelling of 3400605600 in words is "three billion, four hundred million, six hundred five thousand, six hundred".