348890976 has 360 divisors, whose sum is σ = 1240963416. Its totient is φ = 95800320.

The previous prime is 348890963. The next prime is 348890999. The reversal of 348890976 is 679098843.

348890976 is a `hidden beast` number, since 3 + 488 + 90 + 9 + 76 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 5207295 + ... + 5207361.

Almost surely, 2^348890976 is an apocalyptic number.

348890976 is a gapful number since it is divisible by the number (36) 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 348890976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620481708).

348890976 is an abundant number, since it is smaller than the sum of its proper divisors (892072440).

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

348890976 is a wasteful number, since it uses less digits than its factorization.

348890976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 348890976 is about 18678.6235038881. The cubic root of 348890976 is about 703.9847405439.

It can be divided in two parts, 348890 and 976, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 348890976 in words is "three hundred forty-eight million, eight hundred ninety thousand, nine hundred seventy-six".