3976349520 has 160 divisors (see below), whose sum is σ = 14481823104. Its totient is φ = 889804800.

The previous prime is 3976349491. The next prime is 3976349527. The reversal of 3976349520 is 259436793.

It is a happy number.

It is a super-2 number, since 2×3976349520² = 31622711010408460800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3976349520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3976349527) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23611 + ... + 92250.

Almost surely, 2^3976349520 is an apocalyptic number.

3976349520 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 3976349520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7240911552).

3976349520 is an abundant number, since it is smaller than the sum of its proper divisors (10505473584).

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

3976349520 is a wasteful number, since it uses less digits than its factorization.

3976349520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115901 (or 115895 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The square root of 3976349520 is about 63058.3025461358. The cubic root of 3976349520 is about 1584.2662992233.

The spelling of 3976349520 in words is "three billion, nine hundred seventy-six million, three hundred forty-nine thousand, five hundred twenty".