3760960896 has 480 divisors, whose sum is σ = 14224648680. Its totient is φ = 975421440.

The previous prime is 3760960829. The next prime is 3760960919. The reversal of 3760960896 is 6980690673.

It is a happy number.

It is a super-2 number, since 2×3760960896² = 28289653722482245632, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5588016 + ... + 5588688.

Almost surely, 2^3760960896 is an apocalyptic number.

3760960896 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 3760960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112324340).

3760960896 is an abundant number, since it is smaller than the sum of its proper divisors (10463687784).

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

3760960896 is a wasteful number, since it uses less digits than its factorization.

3760960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 696 counting only the distinct ones).

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

The square root of 3760960896 is about 61326.6736094499. The cubic root of 3760960896 is about 1555.1284717903.

The spelling of 3760960896 in words is "three billion, seven hundred sixty million, nine hundred sixty thousand, eight hundred ninety-six".