340286994432 has 768 divisors, whose sum is σ = 1265846400000. Its totient is φ = 87748116480.

The previous prime is 340286994427. The next prime is 340286994461. The reversal of 340286994432 is 234499682043.

340286994432 is a `hidden beast` number, since 3 + 40 + 2 + 86 + 9 + 94 + 432 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 975034194 + ... + 975034542.

It is an arithmetic number, because the mean of its divisors is an integer number (1648237500).

Almost surely, 2^340286994432 is an apocalyptic number.

340286994432 is a gapful number since it is divisible by the number (32) 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 340286994432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632923200000).

340286994432 is an abundant number, since it is smaller than the sum of its proper divisors (925559405568).

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

340286994432 is a wasteful number, since it uses less digits than its factorization.

340286994432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 340286994432 in words is "three hundred forty billion, two hundred eighty-six million, nine hundred ninety-four thousand, four hundred thirty-two".