3632676705 has 48 divisors (see below), whose sum is σ = 7619474304. Its totient is φ = 1562964480.

The previous prime is 3632676701. The next prime is 3632676713. The reversal of 3632676705 is 5076762363.

3632676705 is a `hidden beast` number, since 3 + 632 + 6 + 7 + 6 + 7 + 0 + 5 = 666.

3632676705 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3632676705 - 2² = 3632676701 is a prime.

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 (3632676701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333831 + ... + 344540.

It is an arithmetic number, because the mean of its divisors is an integer number (158739048).

Almost surely, 2^3632676705 is an apocalyptic number.

3632676705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3632676705 is an abundant number, since it is smaller than the sum of its proper divisors (3986797599).

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

3632676705 is a wasteful number, since it uses less digits than its factorization.

3632676705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678406 (or 678403 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The square root of 3632676705 is about 60271.6907428355. The cubic root of 3632676705 is about 1537.2420285010.

The spelling of 3632676705 in words is "three billion, six hundred thirty-two million, six hundred seventy-six thousand, seven hundred five".