3706896960 has 672 divisors, whose sum is σ = 15066629760. Its totient is φ = 859963392.

The previous prime is 3706896917. The next prime is 3706897031. The reversal of 3706896960 is 696986073.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3706896897 and 3706896906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19206624 + ... + 19206816.

It is an arithmetic number, because the mean of its divisors is an integer number (22420580).

Almost surely, 2^3706896960 is an apocalyptic number.

3706896960 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 3706896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533314880).

3706896960 is an abundant number, since it is smaller than the sum of its proper divisors (11359732800).

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

3706896960 is a wasteful number, since it uses less digits than its factorization.

3706896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 3706896960 is about 60884.2915701579. The cubic root of 3706896960 is about 1547.6408036248.

The spelling of 3706896960 in words is "three billion, seven hundred six million, eight hundred ninety-six thousand, nine hundred sixty".