345181778370 has 576 divisors, whose sum is σ = 1108222819200. Its totient is φ = 76355136000.

The previous prime is 345181778369. The next prime is 345181778371. The reversal of 345181778370 is 73877181543.

345181778370 is a `hidden beast` number, since 34 + 518 + 17 + 7 + 83 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345181778369) and next prime (345181778371).

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 (345181778371) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 557643921 + ... + 557644539.

It is an arithmetic number, because the mean of its divisors is an integer number (1923997950).

Almost surely, 2^345181778370 is an apocalyptic number.

345181778370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345181778370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554111409600).

345181778370 is an abundant number, since it is smaller than the sum of its proper divisors (763041040830).

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

345181778370 is a wasteful number, since it uses less digits than its factorization.

345181778370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 345181778370 in words is "three hundred forty-five billion, one hundred eighty-one million, seven hundred seventy-eight thousand, three hundred seventy".