345891413760 has 144 divisors (see below), whose sum is σ = 1152721027584. Its totient is φ = 88227352576.

The previous prime is 345891413713. The next prime is 345891413761. The reversal of 345891413760 is 67314198543.

It is a super-2 number, since 2×345891413760² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345891413761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1869852 + ... + 2046491.

It is an arithmetic number, because the mean of its divisors is an integer number (8005007136).

Almost surely, 2^345891413760 is an apocalyptic number.

345891413760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345891413760 is an abundant number, since it is smaller than the sum of its proper divisors (806829613824).

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

345891413760 is a wasteful number, since it uses less digits than its factorization.

345891413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916390 (or 3916376 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 345891413760 in words is "three hundred forty-five billion, eight hundred ninety-one million, four hundred thirteen thousand, seven hundred sixty".