340362362880 has 768 divisors, whose sum is σ = 1250370051840. Its totient is φ = 88799182848.

The previous prime is 340362362867. The next prime is 340362362881. The reversal of 340362362880 is 88263263043.

340362362880 is a `hidden beast` number, since 3 + 4 + 0 + 362 + 3 + 6 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340362362881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3304488909 + ... + 3304489011.

It is an arithmetic number, because the mean of its divisors is an integer number (1628086005).

Almost surely, 2^340362362880 is an apocalyptic number.

340362362880 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 340362362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625185025920).

340362362880 is an abundant number, since it is smaller than the sum of its proper divisors (910007688960).

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

340362362880 is an frugal number, since it uses more digits than its factorization.

340362362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 340362362880 in words is "three hundred forty billion, three hundred sixty-two million, three hundred sixty-two thousand, eight hundred eighty".