1345734000 has 560 divisors, whose sum is σ = 5328033984. Its totient is φ = 326592000.

The previous prime is 1345733981. The next prime is 1345734001. The reversal of 1345734000 is 4375431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345734001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18953965 + ... + 18954035.

Almost surely, 2^1345734000 is an apocalyptic number.

1345734000 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 1345734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664016992).

1345734000 is an abundant number, since it is smaller than the sum of its proper divisors (3982299984).

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

1345734000 is an equidigital number, since it uses as much as digits as its factorization.

1345734000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 1345734000 is about 36684.2473004422. The cubic root of 1345734000 is about 1104.0440672391.

The spelling of 1345734000 in words is "one billion, three hundred forty-five million, seven hundred thirty-four thousand".