3200513738880 has 512 divisors, whose sum is σ = 11152069632000. Its totient is φ = 777633841152.

The previous prime is 3200513738879. The next prime is 3200513738887. The reversal of 3200513738880 is 888373150023.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3200513738887) 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 63 ways as a sum of consecutive naturals, for example, 278227209 + ... + 278238711.

It is an arithmetic number, because the mean of its divisors is an integer number (21781386000).

Almost surely, 2^{3200513738880} is an apocalyptic number.

3200513738880 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 3200513738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576034816000).

3200513738880 is an abundant number, since it is smaller than the sum of its proper divisors (7951555893120).

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

3200513738880 is a wasteful number, since it uses less digits than its factorization.

3200513738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11836 (or 11824 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

It can be divided in two parts, 3200513 and 738880, that added together give a palindrome (3939393).

The spelling of 3200513738880 in words is "three trillion, two hundred billion, five hundred thirteen million, seven hundred thirty-eight thousand, eight hundred eighty".