345915360 has 576 divisors, whose sum is σ = 1479389184. Its totient is φ = 74649600.

The previous prime is 345915359. The next prime is 345915373. The reversal of 345915360 is 63519543.

345915360 is a `hidden beast` number, since 3 + 4 + 591 + 5 + 3 + 60 = 666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8436940 + ... + 8436980.

It is an arithmetic number, because the mean of its divisors is an integer number (2568384).

Almost surely, 2^345915360 is an apocalyptic number.

345915360 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 345915360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739694592).

345915360 is an abundant number, since it is smaller than the sum of its proper divisors (1133473824).

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

345915360 is a wasteful number, since it uses less digits than its factorization.

345915360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 345915360 is about 18598.7999612878. The cubic root of 345915360 is about 701.9776455735.

The spelling of 345915360 in words is "three hundred forty-five million, nine hundred fifteen thousand, three hundred sixty".