345948408 has 160 divisors (see below), whose sum is σ = 1054006800. Its totient is φ = 106445664.

The previous prime is 345948367. The next prime is 345948431. The reversal of 345948408 is 804849543.

It is a happy number.

The cubic root of 345948408 is 702.

It is a perfect power (a cube), and thus also a powerful number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 39 ways as a sum of consecutive naturals, for example, 26611410 + ... + 26611422.

Almost surely, 2^345948408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345948408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527003400).

345948408 is an abundant number, since it is smaller than the sum of its proper divisors (708058392).

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

345948408 is an frugal number, since it uses more digits than its factorization.

345948408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 345948408 is about 18599.6883844864.

It can be divided in two parts, 345 and 948408, that added together give a triangular number (948753 = T₁₃₇₇).

The spelling of 345948408 in words is "three hundred forty-five million, nine hundred forty-eight thousand, four hundred eight".