3951276480 has 336 divisors, whose sum is σ = 14426305920. Its totient is φ = 989853696.

The previous prime is 3951276463. The next prime is 3951276481. The reversal of 3951276480 is 846721593.

3951276480 is a `hidden beast` number, since 3 + 95 + 12 + 76 + 480 = 666.

3951276480 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3951276480² = 31225171642802380800, which contains 22 as substring.

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

3951276480 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3951276481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8919139 + ... + 8919581.

It is a 1-persistent number, because it is pandigital, but 2⋅3951276480 = 7902552960 is not.

Almost surely, 2^3951276480 is an apocalyptic number.

3951276480 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 3951276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213152960).

3951276480 is an abundant number, since it is smaller than the sum of its proper divisors (10475029440).

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

3951276480 is a wasteful number, since it uses less digits than its factorization.

3951276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3951276480 is about 62859.1797592046. The cubic root of 3951276480 is about 1580.9293896478.

The spelling of 3951276480 in words is "three billion, nine hundred fifty-one million, two hundred seventy-six thousand, four hundred eighty".