345077040 has 320 divisors, whose sum is σ = 1357627392. Its totient is φ = 70425600.

The previous prime is 345077023. The next prime is 345077071. The reversal of 345077040 is 40770543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 345076989 and 345077007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1311949 + ... + 1312211.

Almost surely, 2^345077040 is an apocalyptic number.

345077040 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 345077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678813696).

345077040 is an abundant number, since it is smaller than the sum of its proper divisors (1012550352).

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

345077040 is a wasteful number, since it uses less digits than its factorization.

345077040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 345077040 is about 18576.2493523316. The cubic root of 345077040 is about 701.4101098880.

The spelling of 345077040 in words is "three hundred forty-five million, seventy-seven thousand, forty".