339286400640 has 1152 divisors, whose sum is σ = 1351043366400. Its totient is φ = 78319042560.

The previous prime is 339286400627. The next prime is 339286400641. The reversal of 339286400640 is 46004682933.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (339286400641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1521463569 + ... + 1521463791.

It is an arithmetic number, because the mean of its divisors is an integer number (1172780700).

Almost surely, 2^339286400640 is an apocalyptic number.

339286400640 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 339286400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675521683200).

339286400640 is an abundant number, since it is smaller than the sum of its proper divisors (1011756965760).

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

339286400640 is a wasteful number, since it uses less digits than its factorization.

339286400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 340 counting only the distinct ones).

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

The spelling of 339286400640 in words is "three hundred thirty-nine billion, two hundred eighty-six million, four hundred thousand, six hundred forty".