345537648 has 270 divisors, whose sum is σ = 1131304824. Its totient is φ = 98233344.

The previous prime is 345537593. The next prime is 345537649. The reversal of 345537648 is 846735543.

345537648 is a `hidden beast` number, since 34 + 553 + 7 + 64 + 8 = 666.

Its product of digits (1209600) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345537649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 15023365 + ... + 15023387.

Almost surely, 2^345537648 is an apocalyptic number.

345537648 is a gapful number since it is divisible by the number (38) 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 345537648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565652412).

345537648 is an abundant number, since it is smaller than the sum of its proper divisors (785767176).

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

345537648 is a wasteful number, since it uses less digits than its factorization.

345537648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 345537648 is about 18588.6429843601. The cubic root of 345537648 is about 701.7220513101.

The spelling of 345537648 in words is "three hundred forty-five million, five hundred thirty-seven thousand, six hundred forty-eight".