3727696896 has 704 divisors, whose sum is σ = 14714818560. Its totient is φ = 902430720.

The previous prime is 3727696829. The next prime is 3727696901. The reversal of 3727696896 is 6986967273.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36191181 + ... + 36191283.

Almost surely, 2^3727696896 is an apocalyptic number.

3727696896 is a gapful number since it is divisible by the number (36) 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 3727696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357409280).

3727696896 is an abundant number, since it is smaller than the sum of its proper divisors (10987121664).

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

3727696896 is a wasteful number, since it uses less digits than its factorization.

3727696896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The square root of 3727696896 is about 61054.8679140329. The cubic root of 3727696896 is about 1550.5300852232.

The spelling of 3727696896 in words is "three billion, seven hundred twenty-seven million, six hundred ninety-six thousand, eight hundred ninety-six".