3485723760 has 80 divisors (see below), whose sum is σ = 12006389280. Its totient is φ = 929525760.

The previous prime is 3485723737. The next prime is 3485723767. The reversal of 3485723760 is 673275843.

3485723760 is a `hidden beast` number, since 3 + 4 + 8 + 572 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485723767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804721 + ... + 809040.

It is an arithmetic number, because the mean of its divisors is an integer number (150079866).

Almost surely, 2^3485723760 is an apocalyptic number.

3485723760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3485723760 is an abundant number, since it is smaller than the sum of its proper divisors (8520665520).

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

3485723760 is a wasteful number, since it uses less digits than its factorization.

3485723760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613783 (or 1613771 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3485723760 is about 59040.0182926801. The cubic root of 3485723760 is about 1516.2273359945.

The spelling of 3485723760 in words is "three billion, four hundred eighty-five million, seven hundred twenty-three thousand, seven hundred sixty".