3968118049 has 9 divisors (see below), whose sum is σ = 4616487057. Its totient is φ = 3400866084.

The previous prime is 3968118043. The next prime is 3968118071. The reversal of 3968118049 is 9408118693.

3968118049 = T₁₂₇₀₂ + T₁₂₇₀₃ + ... + T₁₂₇₅₀.

The square root of 3968118049 is 62993.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 3968118049 - 2⁹ = 3968117537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 3968117993 and 3968118011.

It is not an unprimeable number, because it can be changed into a prime (3968118043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 436452 + ... + 445450.

Almost surely, 2^3968118049 is an apocalyptic number.

3968118049 is the 62993-rd square number.

3968118049 is the 31497-th centered octagonal number.

It is an amenable number.

3968118049 is a deficient number, since it is larger than the sum of its proper divisors (648369008).

3968118049 is an frugal number, since it uses more digits than its factorization.

3968118049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18012 (or 9006 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The cubic root of 3968118049 is about 1583.1723434862.

Multiplying 3968118049 by its sum of digits (49), we get a square (194437784401 = 440951²).

3968118049 divided by its sum of digits (49) gives a square (80982001 = 8999²).

The spelling of 3968118049 in words is "three billion, nine hundred sixty-eight million, one hundred eighteen thousand, forty-nine".