1395735680 has 64 divisors (see below), whose sum is σ = 3481790400. Its totient is φ = 534014976.

The previous prime is 1395735643. The next prime is 1395735697. The reversal of 1395735680 is 865375931.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32690 + ... + 62129.

It is an arithmetic number, because the mean of its divisors is an integer number (54402975).

Almost surely, 2^1395735680 is an apocalyptic number.

1395735680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1395735680 is an abundant number, since it is smaller than the sum of its proper divisors (2086054720).

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

1395735680 is an equidigital number, since it uses as much as digits as its factorization.

1395735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94861 (or 94849 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 47.

The square root of 1395735680 is about 37359.5460357858. The cubic root of 1395735680 is about 1117.5519660467.

The spelling of 1395735680 in words is "one billion, three hundred ninety-five million, seven hundred thirty-five thousand, six hundred eighty".