3997007280 has 240 divisors, whose sum is σ = 15376158720. Its totient is φ = 911503872.

The previous prime is 3997007239. The next prime is 3997007281. The reversal of 3997007280 is 827007993.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (3997007281) 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, 3623209 + ... + 3624311.

It is an arithmetic number, because the mean of its divisors is an integer number (64067328).

Almost surely, 2^3997007280 is an apocalyptic number.

3997007280 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 3997007280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688079360).

3997007280 is an abundant number, since it is smaller than the sum of its proper divisors (11379151440).

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

3997007280 is a wasteful number, since it uses less digits than its factorization.

3997007280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 3997007280 is about 63221.8892473169. The cubic root of 3997007280 is about 1587.0050659558.

The spelling of 3997007280 in words is "three billion, nine hundred ninety-seven million, seven thousand, two hundred eighty".