1346890000 has 75 divisors (see below), whose sum is σ = 3269865027. Its totient is φ = 537288000.

The previous prime is 1346889977. The next prime is 1346890037. The reversal of 1346890000 is 986431.

The square root of 1346890000 is 36700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 105596176 + 1241293824 = 10276^2 + 35232^2 .

It is a super-2 number, since 2×1346890000² = 3628225344200000000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3669817 + ... + 3670183.

Almost surely, 2^1346890000 is an apocalyptic number.

1346890000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1346890000 is the 36700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346890000

1346890000 is an abundant number, since it is smaller than the sum of its proper divisors (1922975027).

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

1346890000 is an frugal number, since it uses more digits than its factorization.

1346890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 1346890000 is about 1104.3601053445.

Multiplying 1346890000 by its product of nonzero digits (5184), we get a square (6982277760000 = 2642400²).

The spelling of 1346890000 in words is "one billion, three hundred forty-six million, eight hundred ninety thousand".