340361496720 has 1280 divisors, whose sum is σ = 1439907840000. Its totient is φ = 72260812800.

The previous prime is 340361496707. The next prime is 340361496737. The reversal of 340361496720 is 27694163043.

340361496720 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 614 + 9 + 6 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1710359181 + ... + 1710359379.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928000).

Almost surely, 2^340361496720 is an apocalyptic number.

340361496720 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 340361496720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920000).

340361496720 is an abundant number, since it is smaller than the sum of its proper divisors (1099546343280).

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

340361496720 is a wasteful number, since it uses less digits than its factorization.

340361496720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 340361496720 in words is "three hundred forty billion, three hundred sixty-one million, four hundred ninety-six thousand, seven hundred twenty".