3506675760 has 160 divisors (see below), whose sum is σ = 13804116480. Its totient is φ = 801522432.

The previous prime is 3506675743. The next prime is 3506675761. The reversal of 3506675760 is 675766053.

3506675760 is a `hidden beast` number, since 3 + 506 + 6 + 75 + 76 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3506675761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100842 + ... + 131081.

It is an arithmetic number, because the mean of its divisors is an integer number (86275728).

Almost surely, 2^3506675760 is an apocalyptic number.

3506675760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3506675760 is an abundant number, since it is smaller than the sum of its proper divisors (10297440720).

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

3506675760 is a wasteful number, since it uses less digits than its factorization.

3506675760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231952 (or 231940 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 3506675760 is about 59217.1914227617. The cubic root of 3506675760 is about 1519.2591842455.

The spelling of 3506675760 in words is "three billion, five hundred six million, six hundred seventy-five thousand, seven hundred sixty".