352946048 has 128 divisors (see below), whose sum is σ = 875421120. Its totient is φ = 138018816.

The previous prime is 352946039. The next prime is 352946057. The reversal of 352946048 is 840649253.

It is an interprime number because it is at equal distance from previous prime (352946039) and next prime (352946057).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 352945996 and 352946014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1828640 + ... + 1828832.

Almost surely, 2^352946048 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 352946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437710560).

352946048 is an abundant number, since it is smaller than the sum of its proper divisors (522475072).

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

352946048 is a wasteful number, since it uses less digits than its factorization.

352946048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 352946048 is about 18786.8583855843. The cubic root of 352946048 is about 706.7016540567.

The spelling of 352946048 in words is "three hundred fifty-two million, nine hundred forty-six thousand, forty-eight".