340776000 has 168 divisors, whose sum is σ = 1219270104. Its totient is φ = 90854400.

The previous prime is 340775993. The next prime is 340776017. The reversal of 340776000 is 677043.

It can be written as a sum of positive squares in 4 ways, for example, as 48776256 + 291999744 = 6984^2 + 17088^2 .

It is a super-2 number, since 2×340776000² = 232256564352000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69634 + ... + 74366.

Almost surely, 2^340776000 is an apocalyptic number.

340776000 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 340776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609635052).

340776000 is an abundant number, since it is smaller than the sum of its proper divisors (878494104).

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

340776000 is a wasteful number, since it uses less digits than its factorization.

340776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 340776000 is about 18460.1191762134. The cubic root of 340776000 is about 698.4837930819.

The spelling of 340776000 in words is "three hundred forty million, seven hundred seventy-six thousand".