3947402880 has 192 divisors, whose sum is σ = 13695458400. Its totient is φ = 1047656448.

The previous prime is 3947402827. The next prime is 3947402911. The reversal of 3947402880 is 882047493.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1306011 + ... + 1309029.

Almost surely, 2^3947402880 is an apocalyptic number.

3947402880 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 3947402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847729200).

3947402880 is an abundant number, since it is smaller than the sum of its proper divisors (9748055520).

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

3947402880 is a wasteful number, since it uses less digits than its factorization.

3947402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3947402880 is about 62828.3604751867. The cubic root of 3947402880 is about 1580.4126038806.

The spelling of 3947402880 in words is "three billion, nine hundred forty-seven million, four hundred two thousand, eight hundred eighty".