1348674600 has 384 divisors, whose sum is σ = 5452151040. Its totient is φ = 267632640.

The previous prime is 1348674581. The next prime is 1348674629. The reversal of 1348674600 is 64768431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 927474 + ... + 928926.

It is an arithmetic number, because the mean of its divisors is an integer number (14198310).

Almost surely, 2^1348674600 is an apocalyptic number.

1348674600 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 1348674600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726075520).

1348674600 is an abundant number, since it is smaller than the sum of its proper divisors (4103476440).

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

1348674600 is a wasteful number, since it uses less digits than its factorization.

1348674600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1348674600 is about 36724.3053031640. The cubic root of 1348674600 is about 1104.8476411353.

The spelling of 1348674600 in words is "one billion, three hundred forty-eight million, six hundred seventy-four thousand, six hundred".