345677640 has 384 divisors, whose sum is σ = 1378944000. Its totient is φ = 67668480.

The previous prime is 345677597. The next prime is 345677641. The reversal of 345677640 is 46776543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 345677592 and 345677601.

It is not an unprimeable number, because it can be changed into a prime (345677641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1931071 + ... + 1931249.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^345677640 is an apocalyptic number.

345677640 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 345677640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

345677640 is an abundant number, since it is smaller than the sum of its proper divisors (1033266360).

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

345677640 is a wasteful number, since it uses less digits than its factorization.

345677640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 345677640 is about 18592.4081280505. The cubic root of 345677640 is about 701.8168043329.

The spelling of 345677640 in words is "three hundred forty-five million, six hundred seventy-seven thousand, six hundred forty".