1345769600 has 192 divisors, whose sum is σ = 3856122240. Its totient is φ = 454533120.

The previous prime is 1345769599. The next prime is 1345769603. The reversal of 1345769600 is 69675431.

It is a super-2 number, since 2×1345769600² = 3622191632568320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1345769603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1634789 + ... + 1635611.

It is an arithmetic number, because the mean of its divisors is an integer number (20083970).

Almost surely, 2^1345769600 is an apocalyptic number.

1345769600 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 1345769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928061120).

1345769600 is an abundant number, since it is smaller than the sum of its proper divisors (2510352640).

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

1345769600 is an equidigital number, since it uses as much as digits as its factorization.

1345769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 1345769600 is about 36684.7325191284. The cubic root of 1345769600 is about 1104.0538026009.

The spelling of 1345769600 in words is "one billion, three hundred forty-five million, seven hundred sixty-nine thousand, six hundred".