3940767072 has 96 divisors (see below), whose sum is σ = 12538834560. Its totient is φ = 1194168960.

The previous prime is 3940767071. The next prime is 3940767097. The reversal of 3940767072 is 2707670493.

It is a happy number.

3940767072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940767071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197818 + ... + 216825.

It is an arithmetic number, because the mean of its divisors is an integer number (130612860).

Almost surely, 2^3940767072 is an apocalyptic number.

3940767072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3940767072 is an abundant number, since it is smaller than the sum of its proper divisors (8598067488).

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

3940767072 is a wasteful number, since it uses less digits than its factorization.

3940767072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414673 (or 414659 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 3940767072 is about 62775.5292450808. The cubic root of 3940767072 is about 1579.5265194513.

The spelling of 3940767072 in words is "three billion, nine hundred forty million, seven hundred sixty-seven thousand, seventy-two".