346849776 has 400 divisors, whose sum is σ = 1315790784. Its totient is φ = 85598208.

The previous prime is 346849753. The next prime is 346849781. The reversal of 346849776 is 677948643.

It is a happy number.

It is a super-2 number, since 2×346849776² = 240609534222500352, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2004826 + ... + 2004998.

Almost surely, 2^346849776 is an apocalyptic number.

346849776 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 346849776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657895392).

346849776 is an abundant number, since it is smaller than the sum of its proper divisors (968941008).

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

346849776 is a wasteful number, since it uses less digits than its factorization.

346849776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 346849776 is about 18623.9033502647. The cubic root of 346849776 is about 702.6091578623.

The spelling of 346849776 in words is "three hundred forty-six million, eight hundred forty-nine thousand, seven hundred seventy-six".