345007936 has 56 divisors (see below), whose sum is σ = 842629760. Its totient is φ = 136484352.

The previous prime is 345007913. The next prime is 345007937. The reversal of 345007936 is 639700543.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 345007895 and 345007904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345007937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23796 + ... + 35443.

It is an arithmetic number, because the mean of its divisors is an integer number (15046960).

Almost surely, 2^345007936 is an apocalyptic number.

It is an amenable number.

345007936 is an abundant number, since it is smaller than the sum of its proper divisors (497621824).

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

345007936 is a wasteful number, since it uses less digits than its factorization.

345007936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59271 (or 59261 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 345007936 is about 18574.3892497169. The cubic root of 345007936 is about 701.3632860637.

It can be divided in two parts, 34500 and 7936, that added together give a square (42436 = 206²).

The spelling of 345007936 in words is "three hundred forty-five million, seven thousand, nine hundred thirty-six".