3695868000 has 960 divisors, whose sum is σ = 15925605696. Its totient is φ = 829440000.

The previous prime is 3695867969. The next prime is 3695868047. The reversal of 3695868000 is 8685963.

3695868000 is a `hidden beast` number, since 3 + 69 + 586 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60587970 + ... + 60588030.

Almost surely, 2^3695868000 is an apocalyptic number.

3695868000 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 3695868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962802848).

3695868000 is an abundant number, since it is smaller than the sum of its proper divisors (12229737696).

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

3695868000 is a wasteful number, since it uses less digits than its factorization.

3695868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3695868000 is about 60793.6509842928. The cubic root of 3695868000 is about 1546.1044040601.

The spelling of 3695868000 in words is "three billion, six hundred ninety-five million, eight hundred sixty-eight thousand".