3695633760 has 768 divisors, whose sum is σ = 15539005440. Its totient is φ = 716636160.

The previous prime is 3695633743. The next prime is 3695633761. The reversal of 3695633760 is 673365963.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3695633761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50625084 + ... + 50625156.

It is an arithmetic number, because the mean of its divisors is an integer number (20233080).

Almost surely, 2^3695633760 is an apocalyptic number.

3695633760 is a gapful number since it is divisible by the number (30) 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 3695633760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769502720).

3695633760 is an abundant number, since it is smaller than the sum of its proper divisors (11843371680).

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

3695633760 is a wasteful number, since it uses less digits than its factorization.

3695633760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 48.

The square root of 3695633760 is about 60791.7244368014. The cubic root of 3695633760 is about 1546.0717399113.

The spelling of 3695633760 in words is "three billion, six hundred ninety-five million, six hundred thirty-three thousand, seven hundred sixty".