1346652000 has 384 divisors, whose sum is σ = 5049233280. Its totient is φ = 348364800.

The previous prime is 1346651989. The next prime is 1346652023. The reversal of 1346652000 is 2566431.

1346652000 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 652 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3995832 + ... + 3996168.

It is an arithmetic number, because the mean of its divisors is an integer number (13149045).

Almost surely, 2^1346652000 is an apocalyptic number.

1346652000 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 1346652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524616640).

1346652000 is an abundant number, since it is smaller than the sum of its proper divisors (3702581280).

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

1346652000 is a wasteful number, since it uses less digits than its factorization.

1346652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1346652000 is about 36696.7573499349. The cubic root of 1346652000 is about 1104.2950534626.

The spelling of 1346652000 in words is "one billion, three hundred forty-six million, six hundred fifty-two thousand".