345673980 has 240 divisors, whose sum is σ = 1143246720. Its totient is φ = 87340032.

The previous prime is 345673949. The next prime is 345673987. The reversal of 345673980 is 89376543.

345673980 is a `hidden beast` number, since 3 + 4 + 567 + 3 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345673987) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4375581 + ... + 4375659.

It is an arithmetic number, because the mean of its divisors is an integer number (4763528).

Almost surely, 2^345673980 is an apocalyptic number.

345673980 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 345673980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571623360).

345673980 is an abundant number, since it is smaller than the sum of its proper divisors (797572740).

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

345673980 is a wasteful number, since it uses less digits than its factorization.

345673980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 345673980 is about 18592.3097005187. The cubic root of 345673980 is about 701.8143274023.

The spelling of 345673980 in words is "three hundred forty-five million, six hundred seventy-three thousand, nine hundred eighty".