345697870140 has 576 divisors, whose sum is σ = 1312711335936. Its totient is φ = 74656505088.

The previous prime is 345697870099. The next prime is 345697870181. The reversal of 345697870140 is 41078796543.

345697870140 is a `hidden beast` number, since 3 + 4 + 569 + 7 + 8 + 70 + 1 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345697870099) and next prime (345697870181).

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 191 ways as a sum of consecutive naturals, for example, 64941519 + ... + 64946841.

It is an arithmetic number, because the mean of its divisors is an integer number (2279012736).

Almost surely, 2^345697870140 is an apocalyptic number.

345697870140 is a gapful number since it is divisible by the number (30) 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 345697870140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656355667968).

345697870140 is an abundant number, since it is smaller than the sum of its proper divisors (967013465796).

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

345697870140 is a wasteful number, since it uses less digits than its factorization.

345697870140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 345697870140 in words is "three hundred forty-five billion, six hundred ninety-seven million, eight hundred seventy thousand, one hundred forty".