340777920 has 448 divisors, whose sum is σ = 1386961920. Its totient is φ = 69009408.

The previous prime is 340777907. The next prime is 340777949. The reversal of 340777920 is 29777043.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×340777920² = 232259181519052800, which contains 22 as substring.

It is a congruent number.

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, 2170482 + ... + 2170638.

Almost surely, 2^340777920 is an apocalyptic number.

340777920 is a gapful number since it is divisible by the number (30) 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 340777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693480960).

340777920 is an abundant number, since it is smaller than the sum of its proper divisors (1046184000).

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

340777920 is a wasteful number, since it uses less digits than its factorization.

340777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 340777920 is about 18460.1711801381. The cubic root of 340777920 is about 698.4851048785.

The spelling of 340777920 in words is "three hundred forty million, seven hundred seventy-seven thousand, nine hundred twenty".