3976577280 has 576 divisors, whose sum is σ = 15576261120. Its totient is φ = 954630144.

The previous prime is 3976577119. The next prime is 3976577323. The reversal of 3976577280 is 827756793.

It is a tau number, because it is divible by the number of its divisors (576).

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23811757 + ... + 23811923.

It is an arithmetic number, because the mean of its divisors is an integer number (27042120).

Almost surely, 2^3976577280 is an apocalyptic number.

3976577280 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 3976577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788130560).

3976577280 is an abundant number, since it is smaller than the sum of its proper divisors (11599683840).

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

3976577280 is a wasteful number, since it uses less digits than its factorization.

3976577280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 3976577280 is about 63060.1084680323. The cubic root of 3976577280 is about 1584.2965468663.

The spelling of 3976577280 in words is "three billion, nine hundred seventy-six million, five hundred seventy-seven thousand, two hundred eighty".