340527995136 has 864 divisors, whose sum is σ = 1217544410880. Its totient is φ = 91920531456.

The previous prime is 340527995131. The next prime is 340527995141. The reversal of 340527995136 is 631599725043.

340527995136 is a `hidden beast` number, since 3 + 4 + 0 + 52 + 79 + 9 + 513 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (340527995131) and next prime (340527995141).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (340527995131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3510597840 + ... + 3510597936.

It is an arithmetic number, because the mean of its divisors is an integer number (1409194920).

Almost surely, 2^340527995136 is an apocalyptic number.

340527995136 is a gapful number since it is divisible by the number (36) 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 340527995136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608772205440).

340527995136 is an abundant number, since it is smaller than the sum of its proper divisors (877016415744).

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

340527995136 is an equidigital number, since it uses as much as digits as its factorization.

340527995136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 340527995136 in words is "three hundred forty billion, five hundred twenty-seven million, nine hundred ninety-five thousand, one hundred thirty-six".