346745047536 has 560 divisors, whose sum is σ = 1126108281600. Its totient is φ = 102873120768.

The previous prime is 346745047531. The next prime is 346745047553. The reversal of 346745047536 is 635740547643.

346745047536 is a `hidden beast` number, since 3 + 4 + 67 + 4 + 5 + 0 + 47 + 536 = 666.

346745047536 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346745047531) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 300732336 + ... + 300733488.

Almost surely, 2^346745047536 is an apocalyptic number.

346745047536 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 346745047536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563054140800).

346745047536 is an abundant number, since it is smaller than the sum of its proper divisors (779363234064).

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

346745047536 is a wasteful number, since it uses less digits than its factorization.

346745047536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 346745047536 in words is "three hundred forty-six billion, seven hundred forty-five million, forty-seven thousand, five hundred thirty-six".