1346666400 has 216 divisors, whose sum is σ = 4839651180. Its totient is φ = 352235520.

The previous prime is 1346666371. The next prime is 1346666429. The reversal of 1346666400 is 46666431.

It is an interprime number because it is at equal distance from previous prime (1346666371) and next prime (1346666429).

It can be written as a sum of positive squares in 6 ways, for example, as 333135504 + 1013530896 = 18252^2 + 31836^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 379836 + ... + 383364.

Almost surely, 2^1346666400 is an apocalyptic number.

1346666400 is a gapful number since it is divisible by the number (10) 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 1346666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419825590).

1346666400 is an abundant number, since it is smaller than the sum of its proper divisors (3492984780).

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

1346666400 is a wasteful number, since it uses less digits than its factorization.

1346666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1346666400 is about 36696.9535520321. The cubic root of 1346666400 is about 1104.2989895926.

The spelling of 1346666400 in words is "one billion, three hundred forty-six million, six hundred sixty-six thousand, four hundred".