345644640 has 144 divisors (see below), whose sum is σ = 1286799696. Its totient is φ = 83788800.

The previous prime is 345644633. The next prime is 345644657. The reversal of 345644640 is 46446543.

345644640 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 345644595 and 345644604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4930 + ... + 26750.

It is an arithmetic number, because the mean of its divisors is an integer number (8936109).

Almost surely, 2^345644640 is an apocalyptic number.

345644640 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 345644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643399848).

345644640 is an abundant number, since it is smaller than the sum of its proper divisors (941155056).

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

345644640 is a wasteful number, since it uses less digits than its factorization.

345644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21853 (or 21842 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 345644640 is about 18591.5206478653. The cubic root of 345644640 is about 701.7944707202.

It can be divided in two parts, 34564 and 4640, that added together give a square (39204 = 198²).

The spelling of 345644640 in words is "three hundred forty-five million, six hundred forty-four thousand, six hundred forty".