345511656 has 240 divisors, whose sum is σ = 1172809440. Its totient is φ = 93078720.

The previous prime is 345511643. The next prime is 345511657. The reversal of 345511656 is 656115543.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 345511656.

It is not an unprimeable number, because it can be changed into a prime (345511657) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1637391 + ... + 1637601.

It is an arithmetic number, because the mean of its divisors is an integer number (4886706).

Almost surely, 2^345511656 is an apocalyptic number.

345511656 is a gapful number since it is divisible by the number (36) 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 345511656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586404720).

345511656 is an abundant number, since it is smaller than the sum of its proper divisors (827297784).

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

345511656 is a wasteful number, since it uses less digits than its factorization.

345511656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 242 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 345511656 is about 18587.9438346472. The cubic root of 345511656 is about 701.7044559125.

The spelling of 345511656 in words is "three hundred forty-five million, five hundred eleven thousand, six hundred fifty-six".