3948155904 has 176 divisors, whose sum is σ = 13120713216. Its totient is φ = 1025433600.

The previous prime is 3948155891. The next prime is 3948155909. The reversal of 3948155904 is 4095518493.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948155909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228199 + ... + 244889.

Almost surely, 2^3948155904 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 3948155904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560356608).

3948155904 is an abundant number, since it is smaller than the sum of its proper divisors (9172557312).

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

3948155904 is a wasteful number, since it uses less digits than its factorization.

3948155904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16732 (or 16714 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 3948155904 is about 62834.3528971215. The cubic root of 3948155904 is about 1580.5130929861.

The spelling of 3948155904 in words is "three billion, nine hundred forty-eight million, one hundred fifty-five thousand, nine hundred four".