3690036768 has 96 divisors (see below), whose sum is σ = 10599301440. Its totient is φ = 1114767360.

The previous prime is 3690036739. The next prime is 3690036769. The reversal of 3690036768 is 8676300963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3690036768³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3690036769) 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, 350688 + ... + 361056.

It is an arithmetic number, because the mean of its divisors is an integer number (110409390).

Almost surely, 2^3690036768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3690036768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299650720).

3690036768 is an abundant number, since it is smaller than the sum of its proper divisors (6909264672).

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

3690036768 is a wasteful number, since it uses less digits than its factorization.

3690036768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10730 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 3690036768 is about 60745.6728335443. The cubic root of 3690036768 is about 1545.2908433303.

The spelling of 3690036768 in words is "three billion, six hundred ninety million, thirty-six thousand, seven hundred sixty-eight".