3205136400 has 120 divisors (see below), whose sum is σ = 10327136640. Its totient is φ = 849707520.

The previous prime is 3205136399. The next prime is 3205136437. The reversal of 3205136400 is 46315023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199881 + ... + 215319.

It is an arithmetic number, because the mean of its divisors is an integer number (86059472).

Almost surely, 2^3205136400 is an apocalyptic number.

3205136400 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 3205136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163568320).

3205136400 is an abundant number, since it is smaller than the sum of its proper divisors (7122000240).

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

3205136400 is a wasteful number, since it uses less digits than its factorization.

3205136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15633 (or 15622 counting only the distinct ones).

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

The square root of 3205136400 is about 56613.9240823315. The cubic root of 3205136400 is about 1474.4006221227.

The spelling of 3205136400 in words is "three billion, two hundred five million, one hundred thirty-six thousand, four hundred".