3696456960 has 432 divisors, whose sum is σ = 15259555584. Its totient is φ = 807763968.

The previous prime is 3696456947. The next prime is 3696456961. The reversal of 3696456960 is 696546963.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3696456897 and 3696456906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3696456961) 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, 1853724 + ... + 1855716.

Almost surely, 2^3696456960 is an apocalyptic number.

3696456960 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 3696456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7629777792).

3696456960 is an abundant number, since it is smaller than the sum of its proper divisors (11563098624).

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

3696456960 is a wasteful number, since it uses less digits than its factorization.

3696456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The square root of 3696456960 is about 60798.4947182083. The cubic root of 3696456960 is about 1546.1865268780.

The spelling of 3696456960 in words is "three billion, six hundred ninety-six million, four hundred fifty-six thousand, nine hundred sixty".