3976130340 has 576 divisors, whose sum is σ = 15982686720. Its totient is φ = 776355840.

The previous prime is 3976130309. The next prime is 3976130341. The reversal of 3976130340 is 430316793.

3976130340 is a `hidden beast` number, since 3 + 9 + 7 + 613 + 0 + 34 + 0 = 666.

It is a super-2 number, since 2×3976130340² = 31619224961337031200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3976130295 and 3976130304.

It is not an unprimeable number, because it can be changed into a prime (3976130341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30352075 + ... + 30352205.

It is an arithmetic number, because the mean of its divisors is an integer number (27747720).

Almost surely, 2^3976130340 is an apocalyptic number.

3976130340 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 3976130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991343360).

3976130340 is an abundant number, since it is smaller than the sum of its proper divisors (12006556380).

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

3976130340 is a wasteful number, since it uses less digits than its factorization.

3976130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3976130340 is about 63056.5646067085. The cubic root of 3976130340 is about 1584.2371899556.

The spelling of 3976130340 in words is "three billion, nine hundred seventy-six million, one hundred thirty thousand, three hundred forty".