345478927896 has 256 divisors, whose sum is σ = 1026571392000. Its totient is φ = 107392158720.

The previous prime is 345478927883. The next prime is 345478927993. The reversal of 345478927896 is 698729874543.

345478927896 is a `hidden beast` number, since 3 + 4 + 547 + 8 + 9 + 2 + 78 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151458276 + ... + 151460556.

It is an arithmetic number, because the mean of its divisors is an integer number (4010044500).

Almost surely, 2^345478927896 is an apocalyptic number.

345478927896 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 345478927896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513285696000).

345478927896 is an abundant number, since it is smaller than the sum of its proper divisors (681092464104).

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

345478927896 is a wasteful number, since it uses less digits than its factorization.

345478927896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3061 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 345478927896 in words is "three hundred forty-five billion, four hundred seventy-eight million, nine hundred twenty-seven thousand, eight hundred ninety-six".