348277776 has 320 divisors, whose sum is σ = 1244491776. Its totient is φ = 81100800.

The previous prime is 348277763. The next prime is 348277807. The reversal of 348277776 is 677772843.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1445016 + ... + 1445256.

Almost surely, 2^348277776 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 348277776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622245888).

348277776 is an abundant number, since it is smaller than the sum of its proper divisors (896214000).

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

348277776 is a wasteful number, since it uses less digits than its factorization.

348277776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 51.

The square root of 348277776 is about 18662.2017993590. The cubic root of 348277776 is about 703.5720647375.

The spelling of 348277776 in words is "three hundred forty-eight million, two hundred seventy-seven thousand, seven hundred seventy-six".