3948667744 has 144 divisors (see below), whose sum is σ = 9266503680. Its totient is φ = 1651104000.

The previous prime is 3948667727. The next prime is 3948667757. The reversal of 3948667744 is 4477668493.

3948667744 = T₇₂₅₆ + T₇₂₅₇ + ... + T₇₄₀₂.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15731619 + ... + 15731869.

It is an arithmetic number, because the mean of its divisors is an integer number (64350720).

Almost surely, 2^3948667744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3948667744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633251840).

3948667744 is an abundant number, since it is smaller than the sum of its proper divisors (5317835936).

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

3948667744 is a wasteful number, since it uses less digits than its factorization.

3948667744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 58.

The square root of 3948667744 is about 62838.4256963842. The cubic root of 3948667744 is about 1580.5813894166.

The spelling of 3948667744 in words is "three billion, nine hundred forty-eight million, six hundred sixty-seven thousand, seven hundred forty-four".