3976461720 has 1008 divisors, whose sum is σ = 17897831280. Its totient is φ = 790352640.

The previous prime is 3976461703. The next prime is 3976461737. The reversal of 3976461720 is 271646793.

3976461720 is a `hidden beast` number, since 3 + 9 + 7 + 6 + 4 + 617 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3976461703) and next prime (3976461737).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 172889629 + ... + 172889651.

It is an arithmetic number, because the mean of its divisors is an integer number (17755785).

Almost surely, 2^3976461720 is an apocalyptic number.

3976461720 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 3976461720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8948915640).

3976461720 is an abundant number, since it is smaller than the sum of its proper divisors (13921369560).

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

3976461720 is a wasteful number, since it uses less digits than its factorization.

3976461720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3976461720 is about 63059.1921927327. The cubic root of 3976461720 is about 1584.2812000769.

The spelling of 3976461720 in words is "three billion, nine hundred seventy-six million, four hundred sixty-one thousand, seven hundred twenty".